Question

What is the recursive rule for this geometric sequence?

2, 1/2, 1/8,  1/32,  ...

Enter your answers in the boxes.

an= ____ ⋅an−1
a1= _____

Answer 1

Hopefully other person right

Explanation:

Answer 2

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

Explanation:

The recursive rule allows us to find the term in a sequence from the previous term by multiplying it by the common ratio.

The common ratio r for the geometric sequence is

r =
`((1)/(2) )/(2)` =
`(1)/(4)`

Thus the recursive rule is

`a_(n)` =
`(1)/(4)`
`a_(n-1)` with a₁ = 2