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(1)/(1*2)+(1)/(2*3)+(1)/(3*4)+cdots+(1)/...

(1)/(1*2)+(1)/(2*3)+(1)/(3*4)+cdots+(1)/(n(n+1))=(n)/(n+1)

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For all quad prove that (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+...+(1)/(n(n+1))=(n)/(n+1)

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Prove the following by using the principle of mathematical induction for all n in N (1)/(1.2.3) + (1)/(2.3.4) + (1)/(3.4.5) + ……+ (1)/(n(n+1)(n+2)) = (n(n+3))/(4(n+1)(n+2))

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Prove the following by using the principle of mathematical induction for all n in Nvdots(1)/(1.2.3)+(1)/(2.3.4)+(1)/(3.4.5)+...+(1)/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2))