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Show that every positive integer can …

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Show that every positive integer can be written in the form of 3m+r,where m and r are postive integer what value of r take

    • Posted by Kala Devi 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 11 months ago

    By Euclid division Lemma,given two positive integers a and b, there exist
    unique integers m and r satisfying

    a = bm + r, 0 ≤ r < b.

    Let b=3
    Then r can be 0,1,2
    Then By Euclid division lemma as

    a can be 3m or 3m+1 or 3m+2.

    Thus,every positive integer can be written in the form 3m+r,where r = (0,1,2)

    1Thank You

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    Posted by Kanika . 1 month, 1 week ago

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