Question

A geometric sequence is defined recursively by an = 3an-1. The 1st term of the sequence is 0.25. What is the explicit formula for the nth term of the sequence?

Answer 1

The 1st term of the sequence is 0.25
and
the common ratio is 3

then:
the explicit formula would be:
$a_n=0.25*(3)^{n-1}$

I hope that helps!