Prove that for any integer k, at least one of k, k + 2, or k + 4 is divisible by 3. (Hint: consider three cases, depending on what k mod 3 equals.)
Prove that for any integer k, at least one of k, k + 2, or k + 4 is divisible by 3. (Hint: consider three cases, depending on what k mod 3 equals.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 27E: Let a be an integer. Prove that 3|a(a+1)(a+2). (Hint: Consider three cases.)
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Prove that for any integer k, at least one of k, k + 2, or k + 4 is divisible by 3. (Hint:
consider three cases, depending on what k mod 3 equals.)
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