Question
The sum of n terms of the series whose nth term is n(n+1) is equal to
Answer: Option A
:
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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:
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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