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homework3 - Your paper must be typed Each proof must be...

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MA 315, Spring 2011 Homework 3 Due Wednesday, February 9, 2011 For this homework assignment you are allowed to use the following fact about in- tegers: If n is an in integer, then n leaves a remainder of either 0, 1, or 2 when n is divided by 3. For example, 6 is divisible by 3, 7 leaves a remainder of 1 upon division by 3, and 8 leaves a remainder of 2 upon division by 3.
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Unformatted text preview: Your paper must be typed. Each proof must be written in complete sentences with correct spelling, punctuation and grammar. (1) Prove the following: If n is any integer, then n 3-n is divisible by 3. (2) Prove or disprove: If a , b and c are integers and a | b and b | c , then ab | c . 1...
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