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Is the following statement true or false? For every odd integer n, To answer this question, let n be any odd integer. By definition of odd, n = 2k + 1 for some integer k, and so, by substitution, Starting with this equality, express in terms of k as simply as possible without using the ceiling notation. The result is Also, when " is expressed in terms of k and is completely simplified, the result is Since the expression in k for E is the same v as the expression in k for ", the given statement is

Is the following statement true or false? For every odd integer n, To answer this question, let n be any odd integer. By definition of odd, n = 2k + 1 for some integer k, and so, by substitution, Starting with this equality, express in terms of k as simply as possible without using the ceiling notation. The result is Also, when " is expressed in terms of k and is completely simplified, the result is Since the expression in k for E is the same v as the expression in k for ", the given statement is

Advanced Engineering Mathematics
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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Is the following statement true or false? For every odd integer n, To answer this question, let n be any odd integer. By definition of odd, n = 2k + 1 for some integer k, and so, by substitution, Starting with this equality, express in terms of k as simply as possible without using the ceiling notation. The result is Also, when " is expressed in terms of k and is completely simplified, the result is Since the expression in k for E is the same v as the expression in k for ", the given statement is
Transcribed Image Text:Is the following statement true or false? For every odd integer n, To answer this question, let n be any odd integer. By definition of odd, n = 2k + 1 for some integer k, and so, by substitution, Starting with this equality, express in terms of k as simply as possible without using the ceiling notation. The result is Also, when " is expressed in terms of k and is completely simplified, the result is Since the expression in k for E is the same v as the expression in k for ", the given statement is
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