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  4. The sum of the infinite series, 12-(22/5)+(32/52)-(42/53)+(52/54)-(62/55)+ ldots ldots .. is :

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Q. The sum of the infinite series, $1^2-\frac{2^2}{5}+\frac{3^2}{5^2}-\frac{4^2}{5^3}+\frac{5^2}{5^4}-\frac{6^2}{5^5}+\ldots \ldots .$. is :

Sequences and Series

Solution:

Correct answer is (c) $\frac{25}{54}$

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