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If S(1), S(2), S(3),...,S(n) are the sum...

If `S_(1), S_(2), S_(3),...,S_(n)` are the sums of infinite geometric series, whose first terms are 1, 2, 3,.., n and whose common rations are `(1)/(2), (1)/(3), (1)/(4),..., (1)/(n+1)` respectively, then find the values of `S_(1)^(2) + S_(2)^(2) + S_(3)^(2) + ...+ S_(2n-1)^(2)`.

A

`(1/3[n(2n + 1)(4n +1)-3]`

B

`(1/3[n(2n + 1)(4n +1) + 3]`

C

`(1/3[n(2n - 1)(4n +1)-3]`

D

None of these

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The correct Answer is:
A
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DISHA PUBLICATION-SEQUENCES AND SERIES -Exercise -2 : Concept Applicator
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