Question

prove that the product of two consecutive positive integers is divisible by2​

Answer 1

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Daksh Mathur

Jul 18, 2009

Product of two consecutive positive integers is divisible by 2

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

question_answer Answers(3)

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person

Kishore Kumar

Solution:

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

Answer:

hope it's clear.. it's there's any doubt then do ask..