Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term. $a _ { 1 } = 6 , r = - \frac { 1 } { 5 } , n = 12$

A) $a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n - 1 }$ , $\frac { 6 } { 48,828,125 }$
B) $a _ { n } = 5 \left( - \frac { 1 } { 2 } \right) ^ { n + 1 }$ , $\frac { 6 } { 48,828,125 }$
C) $a _ { n } = 6 \left( - \frac { 1 } { 5 } \right) ^ { n + 1 }$ , $\frac { 6 } { 48,828,125 }$
D) $a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }$ , $\frac { 6 } { 48,828,125 }$
E) $a _ { n } = 5 \left( - \frac { 1 } { 4 } \right) ^ { n - 1 }$ , $\frac { 6 } { 48,828,125 }$