Find the Nth Term of the Geometric Sequence $- 2 , - \frac { 5 } { 2 } , - \frac { 2.5 } { 8 } , \mathbf { K }$

Multiple Choice

Find the nth term of the geometric sequence. $- 2 , - \frac { 5 } { 2 } , - \frac { 2.5 } { 8 } , \mathbf { K }$

A) $2 \left( - \frac { 5 } { 4 } \right) ^ { n - 1 }$
B) $2 \left( \frac { 5 } { 4 } \right) ^ { n - 1 }$
C) $- 2 \left( - \frac { 4 } { 5 } \right) ^ { n - 1 }$
D) $- 2 \left( \frac { 5 } { 4 } \right) ^ { n - 1 }$
E) $2 \left( - \frac { 4 } { 5 } \right) ^ { n - 1 }$