Show the any positive integer is of the form `3m` or `( 3m +1)` or `( 3m +2)` for some integer `m`.

Explanation

Let n be an arbitrary positive integer.
On dividing n by 3, let m be the quotient and r be the remainder. Then by Eulid's divison leema, we have
n + 3m +r , where ` 0 le r lt 3`
n = 3m or ( 3m +1) or ( 3m +2) , for some integer m
Thus , any positive integer is of the form 3m or ( 3m +1) or ( 3m +2) for some interger m. \