Is the following statement true or false?For every odd integer n, 1To answer this question,n be any odd integer. By definition of odd,n= 2k + 1 for some integer k, and so, by substitution,-|K* 1. Starting with this equality, express " in terms of k as simply as possible without using the ceiling notation. The result isAlso, when " is expressed in terms of k and is completely simplified, the result is2n+1k+1Since the expression in k foris the same vas the expression in k for , the given statement is trueNeed Heln? Read I

Given statement true or fasle For every odd integer n {n /2} = n+1 /2

Is the following statement true or false? n+1 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, A- [2k *1| Starting with this equality, express in terms of ke n+1 Also, when is expressed in terms of k and is completely simplified, the result is 2 -k+1 2 Since the expression in k for n+ 1 as the expression in k for , the given statement is true is the same 2 Need Help? Read It

Is the following statement true or false? n+1 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, A- [2k *1| Starting with this equality, express in terms of ke n+1 Also, when is expressed in terms of k and is completely simplified, the result is 2 -k+1 2 Since the expression in k for n+ 1 as the expression in k for , the given statement is true is the same 2 Need Help? Read It

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.7: Problem Solving: Consecutive Integers

Problem 14OE

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