Question

How do you find the indicated term for the geometric sequence `a_3=32`, r=-0.5, n=6?

Answer 1

`a_6=-4`

Explanation:

`"the nth term of a geometric sequence is"`

`•color(white)(x)a_n=ar^(n-1)`

`"we need to find a the first term"`

`rArra_3=a(-0.5)^2=32`

`rArra=32/(-0.5)^2=128`

`rArra_6=128xx(-0.5)^5=-4`