Question

Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT​

Answer 1

`a_(n)` = 8
`a_(n-1)` ; a₁ = - 2

Explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r =
`(a_(2) )/(a_(1) )` =
`(-16)/(-2)` = 8 , then

`a_(n)` = 8
`a_(n-1)` ; a₁ = - 2