Express the Sum Using Summation Notation $\sum _ { k = 1 } ^ { 4 } \left( - \frac { 1 } { 4 } \right) ^ { k }$

Multiple Choice

Express the sum using summation notation.
- $\sum _ { k = 1 } ^ { 4 } \left( - \frac { 1 } { 4 } \right) ^ { k }$

A) $= \frac { 47 } { 256 }$
B) $- \frac { 51 } { 256 }$
C) $\frac { 51 } { 256 }$
D) $\frac { 85 } { 256 }$