Write the Expression for the General (Or Nth)termrm $\mathbf { a } _ { \mathbf { n } } ,$

Multiple Choice

Write the expression for the general (or nth) termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
- $\frac { 1 } { 4 } , \frac { 3 } { 4 } , \frac { 9 } { 4 } , \frac { 27 } { 4 } , \ldots$

A) $a _ { n } = \frac { 1 } { 4 } ( 3 ) ^ { n - 1 }$
B) $a _ { n } = \left( \frac { 1 } { 4 } \right) ^ { n - 1 } + \frac { 1 } { 2 }$
C) $a _ { n } = \frac { 1 } { 4 } + \left( \frac { 1 } { 2 } \right) ^ { n - 1 }$
D) $a _ { n } = \frac { 1 } { 4 } + 3 ( n - 1 )$