Show that any positive integer is of the form 3q or, 3q + 1 or, 3q + 2 for some
integer q.
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Show that any positive integer is in the form of 3q ,3q+1,but not in the form of3q+2. Let us assume that any positive integer 'n' be of the form 3q or, 3q+1 or 3q+2. Therefore, the square of any positive integer is of the form 3m or 3m + 1 but not of the form 3m + 2.
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Any positive integer n is in the form of 3q, 3q+1, or 3q+2 because the number 3q + 3 will be equal to 3r when r is another integer. So all numbers are in the form of 3q, 3q+1 or 3q+2
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