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Prove that product of two consecutive …

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Prove that product of two consecutive integers is divisible by 2

    • Posted by Vidisha Modi 5 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Stranger?♋ Things 5 years, 7 months ago

    n(n+1)=n 2 +1 =((n+1)−1)(n+1) =(n+1) 2 −(n+1) So if (n+1) is an even no (n+1) 2 is even and diff of even is always even is (n+1). If odd then (n+1) 2 is odd and diff of odd is always even So n(n+1) is always even and divisible by 2.

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