Question

Find the indicated nth term of the geometric sequence.
8th term: 2.-8.32,...

Answer 1

`\bold{a_8=-32\,384}`

Explanation:

`a_1=2\\a_2=-8\\\\q=\frac{-8}2=-4\\\\a_n=a_1\cdot q^(n-1)\\\\a_8=2\cdot(-4)^7=2(-16\,384)=-32\,384`