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Let Sk be sum of an indinite G.P whose f...

Let `S_k` be sum of an indinite G.P whose first term is 'K' and commmon ratio is `(1)/(k+1)`. Then `Sigma_(k=1)^(10) S_k` is equal to _________.

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The correct Answer is:
65
`S_(k)=k/(1-1/(k+1))=k+1`
`aum_(k=1)^(10)S_(k)=sum_(k=1)^(10)(k+1)=(10xx11)/2+10=65`
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