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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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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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Thus, P(k+1), is true whenever P(k) is true

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