Prove by the principle of induction | 1.2.3 + 2.3.4 + 3.4.5 + …. + n(n-1)(n-2) = n(n+1)(n+2)(n+3)/4

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

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