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Question Number 75985 by Ajao yinka last updated on 21/Dec/19

Answered by MJS last updated on 21/Dec/19

1+(1/n^2 )+(1/((n+1)^2 ))=(((n^2 +n+1)/(n(n+1))))^2 S_k =Σ_(n=1) ^k ((n^2 +n+1)/(n(n+1)))=((k(k+2))/(k+1)) S_(2011) =((4048143)/(2012))

1+1n2+1(n+1)2=(n2+n+1n(n+1))2Sk=∑kn=1n2+n+1n(n+1)=k(k+2)k+1S2011=40481432012

Commented by Ajao yinka last updated on 22/Dec/19

Excellent

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