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  4. The sum of the series (7/12⋅62)+(17/62⋅ 112)+(27/112⋅162)+ ldots is

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Q. The sum of the series $\frac{7}{1^{2}\cdot6^{2}}+\frac{17}{6^{2}\cdot 11^{2}}+\frac{27}{11^{2}\cdot16^{2}}+\ldots$ is

Sequences and Series

Solution:

Correct answer is (c) $\frac{1}{5}$