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Prove that the product of two …

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

    • Posted by Priyanka Sahoo 5 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Shreyash Alok 5 years, 5 months ago

    Koi bhi problem ho question dalo

    0Thank You

    Shreyash Alok 5 years, 5 months ago

    Let the 2 consecutive positive integer be x, x+1. Product of these consecutive integers be x(x+1). 1. even Let x=2k Product = 2k(2k+1) From above equation it is clear that the product is divisible by 2. 2. odd Let x=2k+1 Product = (2k+1)[(2k+1)+1] From above equation it is clear that the product is divisible by 2

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