Show that any integer n can be written in one of the three

Chapter 4, Problem 27E

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QUESTION: Show that any integer n can be written in one of the three formsn = 3q or n = 3q +1 or n = 3q + 2for some integer q.

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QUESTION: Show that any integer n can be written in one of the three formsn = 3q or n = 3q +1 or n = 3q + 2for some integer q.

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SOLUTIONStep 1In this problem, we are asked to show that any integer n can be written in one of the 3 forms or or .

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