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Question

If Sn=n2+2n, find Tn

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Solution

Given Sn=n2+2n=n(n+2)
Sn1=(n1)(n1+2)=(n1)(n+1)=n21
Sn=Sn1+Tn
Tn=SnSn1=n2+2n(n21)=2n+1

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