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Prove the following by using the principle of mathematical induction for all n∈N:1⋅2+2⋅3+3⋅4+⋯+n(n+1)=n(n+1)(n+2)3

Answer» Prove the following by using the principle of mathematical induction for all nN:

12+23+34++n(n+1)=n(n+1)(n+2)3


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