show that any positive odd integer is of the from 6q+1, or 6q+3, or 6q+5, where q is some interger
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proof__let a be any positive integer and b=6
thus, then the exist integer q and such that a=6q,6q+1,6q+3,6q+4,6q+5
but,
6q,6q+2,6q+4 are even no.
hence, 6q+3,6q+5,6q+1 are odd integers
hence proved
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Explanation:
hence any positive integer is of the form 6q+1 or 6q+3 or 6q+5 where a is an integer
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