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Prove that n(n+1)(n+2)is divisible by 6?

Answer» Let p(k) = n(n+1)(n+2) divisivle by 6For n = 1 ,p(k) is true Let for n = k ,p(k) is trueFor n = k+1:(k+1)(k+2)(k+3)k(k+1)(k+2)(k+3)/k divisible by 6So by mathematical induction , statement is true for all n€N


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