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

Answer» Koi bhi problem ho question dalo
Let the 2 consecutive positive integer be x, x+1.Product of these consecutive integers be x(x+1).1. evenLet x=2kProduct = 2k(2k+1) From above equation it is clear that the product is divisible by 2.2. oddLet x=2k+1Product = (2k+1)[(2k+1)+1]From above equation it is clear that the product is divisible by 2


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