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Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N` : `"1"". 2"". 3 + 2"". 3"". 4 + ""dot ""dot ""dot + n"("n + 1")" "("n + 2")=(n(n+1)(n+2)(n+3))/4`

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