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 $\frac { a } { b }$ .

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The Answer of 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 $\frac { a } { b }$ .

Determine the Sum of the Following Geometric Series 1+(0.25)2+(0.25)4+(0.25)8+…1 + ( 0.25 ) ^ { 2 } + ( 0.25 ) ^ { 4 } + ( 0.25 ) ^ { 8 } + \ldots1+(0.25)2+(0.25)4+(0.25)8+…

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