Determine Whether the Given Geometric Series Converges,and If So,find Its $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 5 } { 9 } \right) ^ { n }$

Multiple Choice

Determine whether the given geometric series converges,and if so,find its sum. $\sum _ { n = 1 } ^ { \infty } \left( - \frac { 5 } { 9 } \right) ^ { n }$

A) Converges to $- \frac { 5 } { 14 }$
B) Converges to $\frac { 5 } { 4 }$
C) Diverges
D) Converges to $\frac { 9 } { 14 }$