Solve the Problem $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

Multiple Choice

Solve the problem.
-Find the nth term of the following geometric sequence: $1 + \sqrt { 3 } , 3 + \sqrt { 3 } , 3 + 3 \sqrt { 3 } , \ldots$

A) $( 1 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { n }$
B) $( 3 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { n - 1 }$
C) $( 1 + \sqrt { 3 } ) ( \sqrt { 3 } ) ^ { \mathrm { n } - 1 }$
D) $( 1 + \sqrt { 3 } ) \cdot 3 ^ { n - 1 }$