Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { n }$

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { n }$

A) $- \frac { 8 } { 3 }$
B) $\frac { 8 } { 3 }$
C) $\frac { 4 } { 3 }$
D) $- \frac { 4 } { 3 }$
E) undefined