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,

$a_{1}=10^{-4}$
$a_{2}=10^{-4}*15$
$a_{3}=10^{-4}*15^2$

$a_{n}=10^{-4}*15^{n-1}$