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Show that every positive integer even …

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Show that every positive integer even integeris of the form 2q ,and that every positve odd integer is of the form 2q+1 where q is some integer

    • Posted by Prachi Jain 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Prachi Jain 4 years, 11 months ago

    Thnq

    1Thank You

    Yogita Ingle 4 years, 11 months ago

    let 'a' be any positive integer and b=2
    By euclid's division algorithm
    a=bq+r       0≤r<b
    a=2q+r       0≤r<2
    (i.e) r =0,1
    r=0 , a=2q+0=> a=2q
    r=1, a=2q+1
    if a is the form of 2q then 'a' is an even integer and positive odd integer is of the form 2q+1

    2Thank You

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