Find the Sum of the Infinite Geometric Series $\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots$

Multiple Choice

Find the sum of the infinite geometric series: $\frac { 5 } { 2 } + \frac { 1 } { 2 } + \frac { 1 } { 10 } + \frac { 1 } { 50 } + \ldots$

A) $\frac { 5 } { 2 }$
B) 3
C) sum is not possible
D) $\frac { 25 } { 8 }$