Question

What is the recursive formula for this geometric sequence with this explicit formula?

Answer 1

D

the n th term (explicit ) formula for a geometric sequence is

`a_(n)` =
`a_(1)`
`(r)^(n-1)`

The given explicit formula therefore has

`a_(1)` = 5 and r = -
`(1)/(8)`

The recursive formula, allows us to find the next term in the sequence from the previous term

Here the next term in the sequence is obtained by multiplying the previous term by -
`(1)/(8)`

`a_(n)` =
`a_(n-1)`(-
`(1)/(8)`) with
`a_(1)` = 5