Use the Formula for the General Term of a Geometric $$\mathbf { a } _ { 1 }$$

Multiple Choice

Use the Formula for the General Term of a Geometric SequenceUse the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the
sequence with the given first term, $$\mathbf { a } _ { 1 }$$ , and common ratio, r.
- $$- \frac { 1 } { 6 } , \frac { 1 } { 54 } , - \frac { 1 } { 486 } , \frac { 1 } { 4374 } , \ldots$$

A) $a _ { n } = - \frac { 1 } { 6 } \left( - \frac { 1 } { 9 } \right) ^ { n }$
B) $a _ { n } = - \frac { 1 } { 6 } - \frac { 1 } { 9 } ( n - 1 )$
C) $a _ { n } = - \frac { 1 } { 9 } \left( - \frac { 1 } { 6 } \right) ^{n - 1}$
D) $a _ { n } = \left( - \frac { 1 } { 6 } \right) ^ { n - 1 } + \frac { 5 } { 27 }$