Find the Indicated Partial Sum of the Series $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$

Multiple Choice

Find the indicated partial sum of the series. $\sum _ { i = 1 } ^ { \infty } 4 \left( - \frac { 1 } { 2 } \right) ^ { i }$ fourth partial sum

A) $\frac { 3 } { 4 }$
B) $- \frac { 17 } { 12 }$
C) $\frac { 11 } { 4 }$
D) $\frac { 1 } { 4 }$
E) $- \frac { 5 } { 4 }$