Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The recursive rule for a sequence is shown.

What is the explicit rule for this sequence?

Answer 1

Answer:
`\bold{(D)\ a_n=7n+10}`

Explanation:

The recursive rule for an arithmetic sequence is:
`a_n=a_(n-1)+d`

So, we know that d = 7. It is given that
`a_1=17`

The explicit rule for an arithmetic sequence is:
`a_n=a_1+d(n-1)`

`a_n=17+7(n-1)\\\\.\quad=17+7n-7\\\\.\quad=7n+10`