Find the N Th Partial Sum of the Geometric Sequence $-64,16,-4,1,-\frac{1}{4}, \ldots, \quad n=6$

Multiple Choice

Find the n th partial sum of the geometric sequence. $-64,16,-4,1,-\frac{1}{4}, \ldots, \quad n=6$

A) $-\frac{819}{16}$
B) $-\frac{3}{16}$
C) $\frac{1}{16}$
D) $\frac{3277}{16}$
E) $-\frac{51}{16}$