Maths-
General
Easy
Question
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Graph the sequence for the first 5 rows.
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: a_n=12+2n.
- A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it
- We have to find the graph of the sequence for the first 5 rows
Step 1 of 1:
Here it will be an AP, with first term 14 and common difference 2.
So, The explicit formula 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 a subscript n equals 14 plus left parenthesis n minus 1 right parenthesis 2 end cell row cell a subscript n equals 12 plus 2 n end cell end table](data:image/png;base64,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)
Now the graph will be
![](data:image/png;base64,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)
Now the graph will be
Related Questions to study
Maths-
Juanita is trying to determine the vertical and horizontal asymptotes for the graph of the function
. Describe and correct the error Juanita made in determining the vertical and horizontal asymptotes.
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)
Juanita is trying to determine the vertical and horizontal asymptotes for the graph of the function
. Describe and correct the error Juanita made in determining the vertical and horizontal asymptotes.
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)
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write an explicit formula to represent the number of chairs in the nth row.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write an explicit formula to represent the number of chairs in the nth row.
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write a recursive formula to represent the number of chairs in the nth row.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Write a recursive formula to represent the number of chairs in the nth row.
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6](data:image/png;base64,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)
Maths-General
Maths-
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFMAAAAPCAYAAACY/vOMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAWRJREFUeNpjYBgcwAeI/zMMLTAo3cwDxNeGWGAOWjfPBOLkIRaYBN0MkuzAIt4MlaMFsAbivVA2uYE5F4jDsYgXAHHrQLr5HBCLI/ETgXgKHvX/icC4ABsQXwJieTwOWw4VD8BjTjwQd6GJcQHxLSAWHgA3w4EHEPdB2S5IMUALAMoFOWieJCcwvYB4FZpYPRDXDpCbUcBuILYH4gs4YpYaQA+Ij2JJMeQAkBuvIPFFgfguEHMMBjeDyppfUM2EALlZ5iQQq1ApMEHgGxK7D+qHAXczqHBdA3VQJA2zOLllFi5wGIiVoBiUKpkG2s0gh2yCFt6gdtQZGmZzXI4lFywEYj8gXgrEsQPtZlA5sw0t8EAt/MUD7DBiKiBY0TQXWtMyDKSbQdX9OiCWxuEZjyEQmAFQdX4DHZiDHSyHNn/wAVAgHmcYBXiBAbTZw0JAHaiIshwNLvxAGq1Hhg3oAPGWweBYAG2JhXLz9DVLAAAAlHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48bW8+PTwvbW8+PG1uPjQ8L21uPjxtbz47PC9tbz48bW8+JiN4QTA7PC9tbz48bWk+eTwvbWk+PG1vPj08L21vPjxtbj40PC9tbj48L21hdGg+r94+fwAAAABJRU5ErkJggg==)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Maths-General
Maths-
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Maths-General
Maths-
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
Maths-General
Maths-
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,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)
Maths-General
Maths-
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Maths-General