Determine the Sum of the Following Geometric Series $\frac { 2 ^ { 2 } } { 5 ^ { 3 } }$

Short Answer

Determine the sum of the following geometric series: $\frac { 2 ^ { 2 } } { 5 ^ { 3 } }$ + $\frac { 2 ^ { 4 } } { 5 ^ { 5 } }$ + $\frac { 2 ^ { 6 } } { 5 ^ { 7 } }$ + $\frac { 2 ^ { 8 } } { 5 ^ { 9 } }$ + $\frac { 210 } { 5 ^ { 11 } }$ + ... .
Enter just a reduced fraction of form $\frac { a } { b }$ .