Question: The sum of the infinite series&nbsp; (1/5) * (1/5 - 1/7)&nbsp;+ (1/5)^2 * ((1/5)^2 - (1/7)^2)&nbsp;+ (1/5)^3 * ((1/5)^3 - (1/7)^3)&nbsp;+ ......&nbsp; is equal to ?

CATKing Student

Question:

The sum of the infinite series

(1/5) * (1/5 - 1/7)
+ (1/5)^2 * ((1/5)^2 - (1/7)^2)
+ (1/5)^3 * ((1/5)^3 - (1/7)^3)
+ ......

is equal to ?

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