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show that every positive even integer …

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show that every positive even integer is of the form 2q and that every positive odd integer of the form 2q+1 for some integer q

    • Posted by K.R. Rohith 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 months ago

    Let a = bq + r : b = 2
    0 {tex} \leqslant {/tex} r < 2 i.e., r = 0, 1
    a = 2q + 0, 2q + 1,
    If a = 2q (which is even)
    If a = 2q + 1 (which is odd)
    So, every positive even integer is of the form 2q and odd integer is of the form 2q + 1.

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