Show that every positive odd integer is of the form 3q or 3q+1 or 3q+2 for some integer q
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Let a be any positive integer and b=3. Applying division lemma with a and b=3, we have
a=3q+r ,where,0 is less than or equal to r and r is less than 3 and q is some integer.
a=3q+0 or,3q+1 or, 3q+2
a=3q or,a=3q+1 or, a=3q+2 for some integer q.
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