Turito Academy

Test Prep

Global form fields

What is the graph of the function<img src="data:image/png;base64,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" class="Wirisformula" alt="f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction" width="102" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»4«/mn»«/mrow»«/mfrac»«/math»'/>

Solution for the question - what is the graph of the function f(x)=(2x+1)/(3x-4)

What is the graph of the function f(x)=(2x+1)/(3x-4)  -Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

<ul>
<li>We have given a sequence -15,-6,-3,12,21,.....</li>
<li>We have to find the recursive and explicit formula of the given sequence.</li>
</ul>Step 1 of 2: We have given a sequence -15,-6,-3,12,21,..... The given sequence is an AP. We know that the recursive formula for any AP is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> , where d is common difference. Here the common difference is 9 So, The recursive formula is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript n minus 1 end subscript plus d end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 9 end cell end table" width="110" height="45" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mn»9«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Step 2 of 2: The given sequence is an AP. So, The explicit formula will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals negative 15 plus left parenthesis n minus 1 right parenthesis left parenthesis 9 right parenthesis end cell row cell a subscript n equals negative 15 plus 9 n minus 9 end cell row cell a subscript n equals 9 n minus 24 end cell end table" width="165" height="75" style="vertical-align:-32px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mo»§#8722;«/mo»«mn»15«/mn»«mo»+«/mo»«mo»(«/mo»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»)«/mo»«mo»(«/mo»«mn»9«/mn»«mo»)«/mo»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mo»§#8722;«/mo»«mn»15«/mn»«mo»+«/mo»«mn»9«/mn»«mi»n«/mi»«mo»§#8722;«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»9«/mn»«mi»n«/mi»«mo»§#8722;«/mo»«mn»24«/mn»«/mtd»«/mtr»«/mtable»«/math»'/>

Write recursive formula and explicit formula. -15,-6,-3,12,21,...

<ul>
<li>We have been given an equation that represents the north path on a map.</li>
<li>We have to find an equation for a path that passes through the point (6, 3) and is perpendicular to the north path.</li>
</ul>Step 1 of 1: We have given a line passes through a point (6, 3) and perpendicular to a line <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 2 x plus 7" width="74" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»7«/mn»«/math»'/> Since product of two perpendicular lines is equal to -1. So, <img src="data:image/png;base64,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" class="Wirisformula" alt="m cross times 2 equals negative 1" width="87" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»§#215;«/mo»«mn»2«/mn»«mo»=«/mo»«mo»§#8722;«/mo»«mn»1«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="m equals fraction numerator negative 1 over denominator 2 end fraction" width="64" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»m«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/math»'/> Therefore the equation of the line will be <img src="data:image/png;base64,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" class="Wirisformula" alt="y minus 3 equals fraction numerator negative 1 over denominator 2 end fraction left parenthesis x minus 6 right parenthesis" width="132" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»§#8722;«/mo»«mn»3«/mn»«mo»=«/mo»«mfrac»«mrow»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»(«/mo»«mi»x«/mi»«mo»§#8722;«/mo»«mn»6«/mn»«mo»)«/mo»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals fraction numerator negative 1 over denominator 2 end fraction x plus 6
" width="95" height="35" style="vertical-align:-6px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«mspace linebreak=¨newline¨/»«/math»'/>

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

Solution for the question - the equation 2x+ 7 represents a north path on a map. find the equationfor a path that passes through the point (6, 3) and is perpend

The equation 2x+ 7 represents a north path on a map. find the-Turito

<ul>
<li>We have given a sequence 62,57,52,47,42,....</li>
<li>We have to find the recursive and explicit formula of the given sequence.</li>
</ul>Step 1 of 2: We have given a sequence 62,57,52,47,42,.... The given sequence is an AP. We know that the recursive formula for any AP is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> , where d is common difference. Here the common difference is -15 So, The recursive formula is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript n minus 1 end subscript plus d end cell row cell a subscript n equals a subscript n minus 1 end subscript minus 15 end cell end table" width="119" height="45" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»§#8722;«/mo»«mn»15«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Step 2 of 2: The given sequence is an AP. So, The explicit formula will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 62 plus left parenthesis n minus 1 right parenthesis left parenthesis negative 15 right parenthesis end cell row cell a subscript n equals negative 15 n plus 77 end cell row cell a subscript n equals 77 minus 15 n end cell end table" width="175" height="75" style="vertical-align:-32px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»62«/mn»«mo»+«/mo»«mo»(«/mo»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»)«/mo»«mo»(«/mo»«mo»§#8722;«/mo»«mn»15«/mn»«mo»)«/mo»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mo»§#8722;«/mo»«mn»15«/mn»«mi»n«/mi»«mo»+«/mo»«mn»77«/mn»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»77«/mn»«mo»§#8722;«/mo»«mn»15«/mn»«mi»n«/mi»«/mtd»«/mtr»«/mtable»«/math»'/>

Write recursive formula and explicit formula. 62,57,52,47,42,...

Step 1 of 2: We have given a sequence -4,5,14,23,32,... The given sequence is an AP. We know that the recursive formula for any AP is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> , where d is common difference. Here the common difference is 9 So, The recursive formula is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus 9" width="101" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mn»9«/mn»«/math»'/> Step 2 of 2: The given sequence is an AP. So, The explicit formula will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals negative 4 plus left parenthesis n minus 1 right parenthesis 9 end cell row cell a subscript n equals 9 n minus 13 end cell row cell a subscript n equals 9 n minus 13 end cell end table" width="145" height="75" style="vertical-align:-32px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mo»§#8722;«/mo»«mn»4«/mn»«mo»+«/mo»«mo»(«/mo»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»)«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»9«/mn»«mi»n«/mi»«mo»§#8722;«/mo»«mn»13«/mn»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»9«/mn»«mi»n«/mi»«mo»§#8722;«/mo»«mn»13«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> .

Write recursive formula and explicit formula. -4, 5,14,23,32,...

What are the vertical and horizontal asymptotes of the graph of each function? <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction" width="92" height="42" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»4«/mn»«/mrow»«mrow»«mn»3«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»12«/mn»«/mrow»«/mfrac»«/math»'/>

Solution for the question - what are the vertical and horizontal asymptotes of the graph of eachfunction? (x^(2)+5x+4)/(3x^(2)-12)

What are the vertical and horizontal asymptotes of the graph of-Turito

<ul>
<li>We have been given an equation that represents the north path on a map.</li>
<li>We have to find an equation for a path that passes through the point (6, 3) and is perpendicular to the north path.</li>
</ul>Step 1 of 1: We have given a line passes through a point (6, 3) and parallel to a line y = 2x + 7 Since two parallel lines have same slope. So, Slope of the line will be 2 Therefore the equation of the line will be y - 3 = 2(x - 6) y = 2x - 9

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.

Solution for the question - the equation 2x + 7 represents a north path on a map. find the equation fora path that passes through the point (6, 3) and is parall

The equation 2x + 7 represents a north path on a map. find the -Turito

<ul>
<li>We have given a sequence 12,19,26,33,40,....</li>
<li>We have to find the recursive and explicit formula of the given sequence.</li>
</ul>Step 1 of 2: We have given a sequence 12,19,26,33,40,.... The given sequence is an AP. We know that the recursive formula for any AP is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> , where d is common difference. Here the common difference is 7 So, The recursive formula is <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus d" width="102" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mi»d«/mi»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals a subscript n minus 1 end subscript plus 7" width="101" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«msub»«mi»a«/mi»«mrow»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«mn»7«/mn»«/math»'/> Step 2 of 2: The given sequence is an AP. So, The explicit formula will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 12 plus left parenthesis n minus 1 right parenthesis 7 end cell row cell a subscript n equals 12 plus 7 n minus 7 end cell end table" width="138" height="47" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»12«/mn»«mo»+«/mo»«mo»(«/mo»«mi»n«/mi»«mo»§#8722;«/mo»«mn»1«/mn»«mo»)«/mo»«mn»7«/mn»«/mtd»«/mtr»«mtr»«mtd»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»12«/mn»«mo»+«/mo»«mn»7«/mn»«mi»n«/mi»«mo»§#8722;«/mo»«mn»7«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript n equals 7 n plus 5" width="83" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mi»n«/mi»«/msub»«mo»=«/mo»«mn»7«/mn»«mi»n«/mi»«mo»+«/mo»«mn»5«/mn»«/math»'/> .

Write recursive formula and explicit formula. 12,19,26,33,40,...

What are the vertical and horizontal asymptotes of the graph of each function? <img src="data:image/png;base64,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" class="Wirisformula" alt="G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction" width="143" height="42" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»G«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»§#8722;«/mo»«mn»9«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«mn»2«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»8«/mn»«/mrow»«/mfrac»«/math»'/>

Solution for the question - what are the vertical and horizontal asymptotes of the graph of eachfunction? g(x)=(2x^(2)+x-9)/(x^(2)-2x-8)

<ul>
<li>We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.</li>
</ul>Step 1 of 1: We have given two equations  <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals negative 5 x plus 6
" width="91" height="18" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»§#8722;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«mspace linebreak=¨newline¨/»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="25 x plus 5 y equals 1" width="94" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»25«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«/math»'/> Slope of both lines are -5, -5 respectively Since slope are equal then both are parallel.

Are graphs of the equations parallel, perpendicular or neither? <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals negative 5 x space straight &amp; space 25 x plus 5 y equals 1
" width="177" height="18" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»§#8722;«/mo»«mn»5«/mn»«mi»x«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#38;«/mi»«mo»§#160;«/mo»«mn»25«/mn»«mi»x«/mi»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«mo»=«/mo»«mn»1«/mn»«mspace linebreak=¨newline¨/»«/math»'/>

Solution for the question - are graphs of the equations parallel, perpendicular or neither? y=-5x & 25x+5y=1

Are graphs of the equations parallel, perpendicular or neither?-Turito

<ul>
<li>We have given a sequence 93,86,79,72,66,....</li>
<li>We have to find weather the given sequence is AP or not.</li>
</ul>Step 1 of 1: We have given sequence 93,86,79,72,66,.... The difference in first two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 86 minus 93 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»86«/mn»«mo»§#8722;«/mo»«mn»93«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»13«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Now the difference in next two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 79 minus 86 end cell row cell not stretchy rightwards double arrow negative 13 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»79«/mn»«mo»§#8722;«/mo»«mn»86«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»13«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Then, The difference between next two terms will be <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAkCAYAAAD4i3Y+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAfdJREFUeNrtmj1LA0EQho8gEiQIVilSCCGFWIggFpJCBLESEcFCrMTGH2AnViIE/4JYihAsRCSdiIiFICKSwkbE0tYihBDQd2EiIllv9vZ2707mgae4MEeG/ZoNmSDww2eIParwFH7ADnyE6wnnpJiFN7ANW5RjOUgpq/Dwx/M1XIMFeh6Ht/RZUjktwCachjk4ADfhMyymbUCLNPv5kLhR+JRgTveaVakG/8BFEttwOOK753CSGdv2NKj9cupqYtWqfXCRxA58o7PQhC24y4ydoSPANbqcXuCUZge1XB3oPfdp9gLGdr6jsymMPMVWHQ/oXzmpbf5KxSpHLtIq7bhM6ogG9pgRq4rRHCNuBJ5RobCddNuc1IBe0TGkrMOKj5VaY6xUNesNxneWaUArnqp9I8J7vV2U6Jmao2tIWHEaoyvNkIcB5ebUD7Wy91xV/wIzdpm2WdiVps48b+OAk5MOVUNKSd9LT+BGSMwFrdQ05XQJV+AgPZfolrCUhsv+OxWfqOd3UjnNU5Hq0s9nNRETgSAIgiAIgiAIgiAIgqDF9l8FwYDf/QGCJdyehUxh028QByY9C5khar9BHJj0LGSuQJj2G8SBSc9CZjHpN/DRH/BvVmrN00qN2h8gZ6oGm/6ATFX/gsfvs+kPEDRw+gMEQzj9Ad98AVVrstnj6IJQAAABjnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGFibGUgY29sdW1uYWxpZ249InJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IiBjb2x1bW5zcGFjaW5nPSIwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIj48bXRyPjxtdGQ+PG1vIHN0cmV0Y2h5PSJmYWxzZSI+JiN4MjFEMjs8L21vPjxtbj43MjwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+Nzk8L21uPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+NzwvbW4+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPrvWtFwAAAAASUVORK5CYII=" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 72 minus 79 end cell row cell not stretchy rightwards double arrow negative 7 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»72«/mn»«mo»§#8722;«/mo»«mn»79«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»7«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Since the difference is not constant The given sequence is not an arithmetic sequence.

Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

<ul>
<li>We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.</li>
</ul>Step 1 of 1: We have given two equations  <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 2 x plus 6" width="74" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 1 half x plus 3" width="82" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/math»'/> Slope of both lines are 2,<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==" class="Wirisformula" alt="1 half" width="18" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«/math»'/> respectively Since slope are not equal then both are not parallel. Product of both slope is <img src="data:image/png;base64,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" class="Wirisformula" alt="2 cross times 1 half equals 1" width="72" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mo»§#215;«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/> So, both are not perpendicular also. So, Both are nor parallel neither perpendicular.

Are graphs of the equations parallel, perpendicular or neither? <img src="data:image/png;base64,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" class="Wirisformula" alt="y equals 2 x plus 6 space straight &amp; space y equals 1 half x plus 3" width="175" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»§#38;«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/math»'/>

Solution for the question - are graphs of the equations parallel, perpendicular or neither?y=2x+6&y=(1)/(2)x+3

<ul>
<li>We have given a sequence 37,34,31,29,26,23,...</li>
<li>We have to find weather the given sequence is AP or not.</li>
</ul>Step 1 of 1: We have given sequence 37,34,31,29,26,23,... The difference in first two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 34 minus 37 end cell row cell not stretchy rightwards double arrow negative 3 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»34«/mn»«mo»§#8722;«/mo»«mn»37«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Now the difference in next two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 31 minus 34 end cell row cell not stretchy rightwards double arrow negative 3 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»31«/mn»«mo»§#8722;«/mo»«mn»34«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Then, The difference between next two terms will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 29 minus 31 end cell row cell not stretchy rightwards double arrow negative 3 end cell end table" width="85" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»29«/mn»«mo»§#8722;«/mo»«mn»31«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mo»§#8722;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Since the difference is constant The given sequence is an arithmetic sequence.

Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

What are the horizontal asymptotes for the graph <img src="data:image/png;base64,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" class="Wirisformula" alt="f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction" width="148" height="38" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»§#8722;«/mo»«mn»2«/mn»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»7«/mn»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«/mrow»«/mfrac»«/math»'/>

Solution for the question - what are the horizontal asymptotes for the graphf(x)=(3x-2)/(x^(2)+7x+12)

What are the horizontal asymptotes for the graph f(x)=(3x-2)-Turito

<ul>
<li>We have given a sequence 3,6,9,15,18,...</li>
<li>We have to find weather the given sequence is AP or not.</li>
</ul>Step 1 of 1: We have given sequence 3,6,9,15,18,... The difference in first two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 6 minus 3 end cell row cell not stretchy rightwards double arrow 3 end cell end table" width="65" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»6«/mn»«mo»§#8722;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Now the difference in next two terms is <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAf9JREFUeNpjYKAfsAfiw0D8A4i/AfEaIFaioX2mQLwKiD9B7dwEdcOAATcgvgJ1GBMQswBxMhDfAGJxGtiXBvW0GpTPB8TR0EgYMHAGR6yHAnEXle3SgtpHN1ACDWVC4A8OcVCqOEdlN80E4kh6BkI1ED8EYmsC6u4CsTEWcXlo+UBNAMpiktT26H8icSs0ZhlwJPv70IKJCYp9oKngF5Xd+wNaFqyDBvAvaPaIpnWKmAsNiKUEaof9UEf+gJbcKnhSAjEBj0sfKHC9oAUwEzSl3gLiLFqnhA48KQEX4ADik1SOEFCVKI1F3ACInw5kmYALOAJxM5XdtA1PZPyiRSCAagceCvS34og1SgAoyYdjEdegQaojCewF4iAgZoPyQR6vBWI/GtgFsuMgtDHGAhUzB+JLQOwykIHgAi0U/0Dz7HIg1qOhfaJAPBuIv0DtBAWKLcMoGAWjYBSMglEwCkbBKBgFo2AUjAIU4AgdUwCNWIFGsEAjShOAWHgkBcJ+tG47CIBGlXaMpg9IF37IA2LnOLAB0MTPjeEQCOSMZ4Km+BKh5YLXUPEoNeY4sJlTMNzyNjFzHDAgCMQBDJABVvvhlhJInePgYRjgkeaBLBOQwY/hUjuQO8ehBy0cRwwADa+DJoBh85CgFiRoMjh+JAUCaH5hCwNi4hfUgvTBpwEAROOSX5CXaDYAAAF7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0iPjxtdHI+PG10ZD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1uPjk8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjY8L21uPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1uPjM8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWF0aD6I/PJPAAAAAElFTkSuQmCC" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 9 minus 6 end cell row cell not stretchy rightwards double arrow 3 end cell end table" width="65" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»9«/mn»«mo»§#8722;«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Then, The difference between next two terms will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 15 minus 9 end cell row cell not stretchy rightwards double arrow 6 end cell end table" width="75" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»15«/mn»«mo»§#8722;«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Since the difference is not constant The given sequence is not an arithmetic sequence.

Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...

<ul>
<li>We have given a sequence 3,6,9,12,15,18,...</li>
<li>We have to find weather the given sequence is AP or not.</li>
</ul>Step 1 of 1: We have given sequence 3,6,9,12,15,18,... The difference in first two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 6 minus 3 end cell row cell not stretchy rightwards double arrow 3 end cell end table" width="65" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»6«/mn»«mo»§#8722;«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Now the difference in next two terms is <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 9 minus 6 end cell row cell not stretchy rightwards double arrow 3 end cell end table" width="65" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»9«/mn»«mo»§#8722;«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Then, The difference between next two terms will be <img src="data:image/png;base64,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" class="Wirisformula" alt="table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 12 minus 9 end cell row cell not stretchy rightwards double arrow 3 end cell end table" width="75" height="36" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnspacing=¨0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em¨ columnalign=¨right left right left right left right left right left right left¨»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»12«/mn»«mo»§#8722;«/mo»«mn»9«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo stretchy=¨false¨»§#8658;«/mo»«mn»3«/mn»«/mtd»«/mtr»«/mtable»«/math»'/> Since the difference is constant The given sequence is an arithmetic sequence.

Tell whether the given sequence is an arithmetic sequence. 3,6,9,12,15,18,...