Question

A geometric sequence is defined recursively by an = 5an-1. The first term of the sequence is 0.45. What is the explicit formula for the nth term of the sequence?

Answer 1

Welcome to QC! I can't help with this Question, but @Vocaloid may be able to

Answer 2

\[a_{n}= a_{1}*r^{n-1}\] is the explicit formula

a1 is already given (0.45), so the only thing you need to find is r

if you look at the formula an = 5*a_{n-1} do you have any ideas what r might be?