Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Consider the following definitions. Definition. An integer n is alphic if n = 4k+ 5 for some integer k. Definition. An integer n is gammic if n = 4k+ 1 for some integer k. Suppose that x is alphic and y is gammic. Prove that x + y is even. Suppose that x is alphic and y is gammic. Then there exists an integer k₁ such that x = and there exists an integer k₂ such that y = Therefore x + y = so x + y is --Select----
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Transcribed Image Text:Consider the following definitions. Definition. An integer n is alphic if n = 4k+ 5 for some integer k. Definition. An integer n is gammic if n = 4k+ 1 for some integer k. Suppose that x is alphic and y is gammic. Prove that x + y is even. Suppose that x is alphic and y is gammic. Then there exists an integer k₁ such that x = and there exists an integer k₂ such that y = Therefore x + y = so x + y is --Select----
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An integer n is said to be alphic if n=4k+5 for some integer k. 

An integer n is said to be gammic if n=4k+1 for some integer k. 

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