Determine the Sum of the Series $1 + \frac { 1 } { 1.01 } + \frac { 1 } { ( 1.01 ) ^ { 2 } } + \frac { 1 } { ( 1.01 ) ^ { 3 } } + \ldots$

Multiple Choice

Determine the sum of the series $1 + \frac { 1 } { 1.01 } + \frac { 1 } { ( 1.01 ) ^ { 2 } } + \frac { 1 } { ( 1.01 ) ^ { 3 } } + \ldots$

A) 101
B) $\frac { 1 } { 1.01 }$
C) 10.1
D) none of these