Find a General Term an for the Geometric Sequence $$\frac { 1 } { 2 } , \frac { 5 } { 2 } , \frac { 25 } { 2 } , \ldots$$

Multiple Choice

Find a general term an for the geometric sequence.
- $$\frac { 1 } { 2 } , \frac { 5 } { 2 } , \frac { 25 } { 2 } , \ldots$$

A) $\mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 2 } ( 5 ) ^ { \mathrm { n } - 1 }$
B) $a _ { n } = \frac { 1 } { 2 } + 2 ( n - 1 )$
C) $a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 } + 2$
D) $a _ { n } = \frac { 1 } { 2 } + 5 ( n - 1 )$