Find the Sum, If It Exists, of the Terms of the Infinite

Multiple Choice

Find the sum, if it exists, of the terms of the infinite geometric sequence.
- $\mathrm{a}_{1}=5, \mathrm{r}=-\frac{1}{3}$

A) $\frac{15}{4}$

B) $\frac{10}{3}$

C) $\frac{15}{2}$

D) Does not exist