Question

What is the recursive formula for this geometric sequence

6, -24, 96, -384,...

Answer 1

see explanation

Explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r =
`(-24)/(6)` = - 4

Thus multiplying any term by - 4 gives the next term, that is

`a_(n+1)` = - 4
`a_(n)` with a₁ = 6