Find the sum of the series ∑ 4 n = 1 ( 2 n + n 3 )
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Step-by-step explanation:
Tn=n(n+1)(n+4)
Tn=n3+5n2+4n
Sn=∑n3+5∑n2+4∑n
=[2n(n+1)]2+85n(n+1)(2n+1)+24n(n+1)
=2n(n+1)[2n2+n+35(2n+1)+4]
=2n(n+1)[63n2+23n+34]
=2n(n+1)(3n2+23n+34).
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