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Maths-

General

Easy

Question

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

The correct answer is: a_n=9n-13.

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 $a subscript n equals a subscript n minus 1 end subscript plus d$ , where d is common difference.
Here the common difference is 9
So, The recursive formula is
$a subscript n equals a subscript n minus 1 end subscript plus d$
$a subscript n equals a subscript n minus 1 end subscript plus 9$
Step 2 of 2:
The given sequence is an AP.
So, The explicit formula will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals negative 4 plus left parenthesis n minus 1 right parenthesis 9 end cell row cell a subscript n equals 9 n minus 13 end cell row cell a subscript n equals 9 n minus 13 end cell end table$
.

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