Question

A geometric sequence is defined recursively by an=12an-1. The first term of the sequence is 0.001. Which of the following is the explicit formula for the nth term of the sequence?

Answer 1

`\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_(n-1)\end{array}\right\\\\\boxed{a_n=0.001\cdot12^(n-1)}`