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Show that every positive odd Integer …

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Show that every positive odd Integer is the form 4q+1 or 4q+3 for some integer q.

    • Posted by Ziya Ferzin 7 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Gurpreet Singh 7 years, 3 months ago

    By euclid's division algorithm we know that a =bq+r as in the question it is given as 4q+1;then b=4 and as we know 0<r<b. Then r =0;1;2;3 1) when r=0 a=4q+0 a=4q 2)when r=1 a=4q+1 Hence proved that 3)when r=2 a=4q+2 4)when r=3 a=4q+3 Hence proved

    1Thank You

    Sumit Katariya 7 years, 3 months ago

    2

    2Thank You

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    Posted by Kanika . 1 month ago

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