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.
- $\sum_{\mathrm{i}=1}^{\infty} \frac{5}{3} \cdot\left(-\frac{1}{3}\right) ^{\mathrm{i}-1}$

A) $\frac{5}{4}$

B) $\frac{5}{3}$

C) $\frac{1}{4}$

D) Does not exist