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

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