Writing and Using Explicit Rules for Geometric Sequences

We want to find the explicit formula of the given geometric sequence. Let's start by calculating the common ratio.

We will now use the common ratio $3$ and the first term $2$ to write the formula. $$\begin{array}{c}{a}_n=a_1{r}^{n-1}\iff a_n=2\cdot 3^{n-1}\end{array}$$