Evaluate the infinite geometric series:\(2+\frac{1}{9}+\frac{1}{162}+\frac{1}{2916}+\dots\)
hint
\(\displaystyle \boxed{r=\frac{a_n}{a_{n-1}}=\frac{a_2}{a_{1}}=\frac{a_3}{a_{2}}=etc}\)