Question

prove that the product of two consecutive positive integer is divisible by 2​

Answer 1

Let the two consecutive positive integers be  and  Product of two consecutive positive integers   Case (i):  is even number Let                     Hence the product is divisible y 2 Case (ii):  is odd number Let              Clearly the product is divisible y 2 From the both the cases we can conclude that the product of two consecutive positive integers is divisible by 2.

Answer 2

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