Find the Sum of the Infinite Geometric Series $$\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 5 } \right) ^ { n }$$

Multiple Choice

Find the sum of the infinite geometric series.
$$\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 5 } \right) ^ { n }$$

A) $- \frac { 10 } { 3 }$
B) $\frac { 10 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $- \frac { 2 } { 3 }$
E) undefined