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1+(1)/(1+2)+(1)/(1+2+3)+cdots+(1)/(1+2+3...

1+(1)/(1+2)+(1)/(1+2+3)+cdots+(1)/(1+2+3+cdots+n)=(2n)/(n+1)

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(1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.......+(1)/(n(n+1))=(n)/(n+1),n in N is true for