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Find the sum to n terms of the series, w...

Find the sum to n terms of the series, whose `n^(t h)`terms is given by : `n(n+1)(n+4)`

Text Solution

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`a_n` = `n(n+1)(n+4)`
Sum = ∑(`n^3 + 5n^2 + 4n`)
= `[n((n+1)/2)]^2 + [5n(n+1)(2n+1)]/8 + ((4n)(n+1))/2`
= `(n(n+1))/2[{n^2 +1 }/2 + 5/3(2n + 1) + 4]` ...
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