Consider the following definitions. integer n is alphic if n = 4k+ 5 for some integer k. Definition. 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 k, such that x = and there exists an integer k₂ such that y = Therefore x+y= ] =²([ so x + y is-Select-v
Consider the following definitions. integer n is alphic if n = 4k+ 5 for some integer k. Definition. 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 k, such that x = and there exists an integer k₂ such that y = Therefore x+y= ] =²([ so x + y is-Select-v
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An integer is said to be alphic if for some integer .
An integer is said to be gammic if for some integer .
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