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Question

The sum of n terms of the series whose nth term is n(n+1) is equal to


A

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B

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C

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D

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Solution

The correct option is A


Tπ = n2 + n ⇒ Sπ = Tπ = n2 + n

= n(n+1)(2n+1)6 + n(n+1)2

= n(n+1)6 {2n + 1 + 3} = n(n+1)(n+2)3


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