Find the Sum of the Sequence $$\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( - \frac { 1 } { 2 } \right) ^ { \mathrm { k } }$$

Multiple Choice

Find the sum of the sequence.
- $$\sum _ { \mathrm { k } = 1 } ^ { 4 } \left( - \frac { 1 } { 2 } \right) ^ { \mathrm { k } }$$

A) $\frac { 5 } { 16 }$
B) $\frac { 15 } { 16 }$
C) $- \frac { 1 } { 16 }$
D) $- \frac { 5 } { 16 }$