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

question 53

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 $\frac { a } { b }$ .

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Principle of Justice

A fundamental ethical guideline that ensures fair and equitable treatment for all individuals and the distribution of rewards and burdens in society.

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A 19th-century philosopher, economist, and revolutionary, who developed the theory of Marxism, emphasizing the roles of class struggle, economic exploitation, and historical development in capitalism.