Determine Whether the Infinite Geometric Series Converges $\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots$

Short Answer

Determine whether the infinite geometric series converges. If it does converge, what is the sum?
$\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots$