Question

A geometric sequence is defined recursively but an=15an-1. The first term of the sequence is 0.0001. What is the explicit formula for the nth term of the sequence.

Answer 1

Hello,


`a_(1)=10^(-4)`

`a_(2)=10^(-4)*15`

`a_(3)=10^(-4)*15^2`


`a_(n)=10^(-4)*15^(n-1)`