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The product of two consecutive positive …

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The product of two consecutive positive integer is divided by 2

Posted by Arshdeep Kataria 4 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

Priya . 4 years ago

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Arshdeep Kataria 4 years, 1 month ago

Thankyou

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Kaviya Sudhan 4 years, 1 month ago

Hence any integer is of one of the form 2q, 2q+1. Hence n(n+1) = 2((2q+1)(q+1)), which is even. Hence n(n+1) is always even. Hence the product of two consecutive integers is always divisible by 2.

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CBSE > Class 10 > Mathematics