Question

What is the recursive formula for the geometric sequence with this explicit formula? an=6*(-1/4)^(n-1)

Answer 1

Explanation:

A

Answer 2

A

Explanation:

The explicit formula for a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Given the explicit formula

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

where a₁ = 6 and r = -
`(1)/(4)`

A recursive formula allows any term in the sequence to be found by multiplying the previous term by r , thus

`a_(n)` =
`a_(n-1)` (-
`(1)/(4))` with a₁ = 6 → A