Use Euclid division lemma to show that any positive odd integer is of the form 6q+1, or 6q +3 or 6q + 5, where q is some integers.​

Question

Use Euclid division lemma to show that any positive odd integer is of the form 6q+1, or
6q +3 or 6q + 5, where q is some integers.​

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Serenity 1 week 2021-10-08T05:05:18+00:00 2 Answers 0 views 0

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    2021-10-08T05:06:35+00:00

    Answer:

    answer attached in photo

    0
    2021-10-08T05:07:10+00:00

    Step-by-step explanation:

    Euclid’s division lemma:

    a = bq + r

    let ‘a’ be any positive odd integer, and b=6 where, b>0>=r.

    possible values of r=0 or .r=1,2,3,4,5.

    Then the values of a will be, 6q, 6q+1,6q+2,6q+3,6q+4,6q+5.

    6q,6q+2,6q+4 are divisible by 2 and cannot be in the form of a as a is a positive odd integer.

    Therefore, a is of the form of 6q+1, 6q+3,6q+5.

    Hope helps u.

    Plz mark as brainliest.

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