Question

a geometric sequence is defined recursively by an = 20an-1. the first term of the sequence is 0.01. which of the following is the explicit formula for the nth term of the sequence?

Answer 1

Hello,

$Hello,\\\\u_{1}=\frac{1}{100}\\ u_{2}=\frac{1}{100}*20\\ u_{3}=\frac{1}{100}*20^{2}\\ u_{4}=\frac{1}{100}*20^{3}\\ \boxed{u_{n}=\dfrac{1}{100}*20^{n-1}}$