Let \( S_{k} \) be sum of an infinite G.P. whose first term is \( k \) and common ratio is \( \f...

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Let \( S_{k} \) be sum of an infinite G.P. whose first term is \( k \) and common ratio is \( \frac{1}{k+1} \). Then \( \sum_{k=1}^{10} S_{k} \) is equal to
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