# Show that any positive integer is of the form 3q or,3q+2 or 3q+2 for some integer q.

Solution: Let a be a any positive integer and b=3      Applying division lemma with a and b=3

We have ,

$\\ a=3q+r$

Where

$\\ 0\leq r< 3$

⇒  a= 3q + 0  or ,a= 3q+1 or ,a=3q+2

for any integer q.

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