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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. Write a recursive formula to represent the number of chairs in the n^th row.

hint Hint:

A sequence is said to be arithmetic if the common difference is always constant.

The General formula of any AP is $a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d$ .

The correct answer is: a_n=a_(n-1)+2.

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 recursive formula to represent the number of chairs in the nth row.

Step 1 of 1:
Here it will be an AP, with common difference 2.
So, The recursive formula will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript n minus 1 end subscript plus d end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 2 end cell end table$

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