Determine the Sum of the Following Geometric Series $1 + ( 0.25 ) ^ { 2 } + ( 0.25 ) ^ { 4 } + ( 0.25 ) ^ { 8 } + \ldots$

Short Answer

Determine the sum of the following geometric series: $1 + ( 0.25 ) ^ { 2 } + ( 0.25 ) ^ { 4 } + ( 0.25 ) ^ { 8 } + \ldots$ .
Enter a reduced fraction of form $\frac { a } { b }$ .