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Maths-

General

Easy

Question

Write recursive formula and find the first term. $a subscript n equals 10 plus 8 n$

The correct answer is: a_(n-1)=a_n-8.

Explanation:

We have given a explicit function $a subscript n equals 10 plus 8 n$ .

We have to find the recursive formula and first term.

Step 1 of 2:
We have given explicit formula $a subscript n equals 10 plus 8 n$ .
First term will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals 10 plus 8 n end cell row cell a subscript 1 equals 10 plus 8 left parenthesis 1 right parenthesis end cell row cell a subscript 1 equals 18 end cell end table$
Step 2 of 2:
Now for recursive formula we will calculate .
So,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n minus 1 end subscript equals 10 plus 8 left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 10 plus 8 n minus 8 end cell row cell a subscript n minus 1 end subscript equals a subscript n minus 8 end cell end table$
.

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