Question

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

Answer 1

Answer: B(APEX)

Explanation:

Answer 2

B

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

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

where
`a_(1)` is the first term and r the common ratio, hence

`a_(1)` = 6 and r = -
`(1)/(4)`

The recursive formula lets us find the next term in the sequence from the previous term by multiplying the previous term by r, hence

`a_(n)` =
`a_(n-1)`( -
`(1)/(4)` )with
`a_(1)` = 6