Maths-
General
Easy
Question
Write a recursive formula for the given sequence. 81,85,89,93,97,....
Hint:
- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is
.
The correct answer is: ⇒4
Explanation:
- We have given a sequence 4,7,10,14,..
- We have to find weather the given sequence is AP or not.
Step 1 of 1:
We have given sequence 4,7,10,14,...
The difference in first two terms is
![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 7 minus 4 end cell row cell not stretchy rightwards double arrow 3 end cell end table](data:image/png;base64,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)
Now the difference in next two terms is
![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 10 minus 7 end cell row cell not stretchy rightwards double arrow 3 end cell end table](data:image/png;base64,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)
Then, The difference between next two terms will be
![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 14 minus 10 end cell row cell not stretchy rightwards double arrow 4 end cell end table](data:image/png;base64,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)
Since the difference is not constant
The given sequence is not an arithmetic sequence.
Related Questions to study
Maths-
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAAAmCAYAAAAiPrKqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA51JREFUeNrtWz1oFEEUHiSEQ4IgIkFEhCASUoQDCxERCYhIsAgHKcRCRJAgQdJZiYVNSBFE7FJYpAiIBAlBAhJCCCEIEoJYBBsrERuLK8JxBM73yDtY1529md2Z2ZnM++Djkt3Z5d28dzPvZ54QDFWMAT8CD4At4HfgK+CZiuW6DnwPbALbwD3gfVaX/9gANoD9iWt14FrFcm0C7wEH6P8R4DZdYwSIpocyXQR+ZdWEhyHgfsb1R8DZjOsv6Z4LtFg94WAQ+JD8qHHJmF0a1wWOf+NIvmu07TE8RyfFmZyxd4Dz9Pct4LojGWvAz+SsMwLBaeAEKe5mzrhPdH9PIRrsKFBFrg/A26yiMDFARiXDDIXyo478OTSmS6yWsCFzfrv5oXkHIfwwcAF4MrTJeyKJXvIwS88dR4ySY561WqyQgnEV+yLsJUDR8X8H7PN5ok6kIpTu5O0UfN+2o2XfJjCBOEmKw/nBzPkP4IPUuLPiKKOeNKC7wEVLcq3SCuUtMDr5Q/yWsHw0inrBd14BbgVuUDdIeS3iBhlKEphFXwaez3h+iebWduSp48RbBxrPz4ThjNBn3UBeY4sMixERGvRLSmMOOF3y3U8L+F+MwPEC+Czj+hot+WnolBgwe7vOUxwPllP7bzLUbYp/q+xJqJYY+oW8kGoiqcfwEFjovJBx/bCHE69aYmjzFMcDDIUPJPcOezyrWmKwYVAdphf8D1cpFM5C3paHUCkx8JYXGdBnepuzAsmq16olBnbKI8Nr4GPJPVnaQKfEME3vYUQU5ckOi2UlNnVLDJzYjAxYaqnl3N9J+Ei6JQYfSy9d36xNPxY+9mEQuNr86jHmuBaHMbrF0xC7bAZmgL1lmH9SKYtMCf3yyVyOb+YT+FC/IeB21Ih8DjCHtsmmwDCBc7QlD1n003zNrV0GPhdHCekscFdygQldJaNyCTyot+DB918kd0Rm3NyVrLkyYdrjVMGVpygGKeKtWVoRbT8XXVey6pEaNKZhx4pDYCK4XkLuqg0qygBG5UhNGZ+mqOKmyGcpI3fVBhVlV7Ltrt0iisOtAnv4+izKbdugou5K1unaLRutqSgEHdwxw3KbOqXBXckKsNm1q7sSTJLPZltuWytU9F3Jtrt2dRSHpZ19odaCVlZuGwYVbFeyKbjo2tVR3IRQy8KbkNu0QQXRlWwTrrp2dRS3RNGaC7lNG5T3Xck2UUXXrgp+k0Pro9y9nHhtZ/8vCQWKffz/6YoAAAEddEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmY8L21pPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1uPjM8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PG1yb3c+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj43PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xMjwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPlALcmEAAAAASUVORK5CYII=)
How do you find vertical and horizontal asymptotes of a rational function?
What are the vertical asymptotes for the graph of ![f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Tell whether the given sequence is an arithmetic sequence. 15,13,11,9,....
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
an = 12 - 5n
Write an explicit formula for the arithmetic sequence.
an = 12 - 5n
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Write an explicit formula for the arithmetic sequence.
an = 8 + 3n
Maths-General
Maths-
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x over denominator x minus 6 end fraction](data:image/png;base64,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)
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x over denominator x minus 6 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence.
![a subscript n equals a subscript n minus 1 end subscript plus 2.4 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Write an explicit formula for the arithmetic sequence.
![a subscript n equals a subscript n minus 1 end subscript plus 2.4 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Maths-General
Maths-
Write an explicit formula for the arithmetic sequence. ![a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10](data:image/png;base64,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)
Write an explicit formula for the arithmetic sequence. ![a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10](data:image/png;base64,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)
Maths-General
Maths-
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The cost to rent a bike is
28 for the first day plus
2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?
The cost to rent a bike is
28 for the first day plus
2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?
Maths-General
Maths-
The daily attendance at an amusement park after day x is given by the function
f(x) =
. On Approximately which day will the attendance be 1125 people ?
The daily attendance at an amusement park after day x is given by the function
f(x) =
. On Approximately which day will the attendance be 1125 people ?
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3
Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1](data:image/png;base64,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)
Graph each function and identify the horizontal and vertical asymptotes
![straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1](data:image/png;base64,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)
Maths-General