III. Explain why or why not the proof of the following result is correct or not correct. Let n be and integer. If 3n – 8 is odd, then n is odd. Proof. Assume that n is odd. Then n = 2k + 1 for some integer k. Then 3(2k + 1) – 8 6k + 3 – 8 6k – 5 2(3k – 3) + 1. %3D 3n – 8 = Since 3k – 3 is an integer, 3n – 8 is odd. Q.E.D.

III. Explain why or why not the proof of the following result is correct or not correct. Let n be and integer. If 3n – 8 is odd, then n is odd. Proof. Assume that n is odd. Then n = 2k + 1 for some integer k. Then 3(2k + 1) – 8 6k + 3 – 8 6k – 5 2(3k – 3) + 1. %3D 3n – 8 = Since 3k – 3 is an integer, 3n – 8 is odd. Q.E.D.

Name: Mathematical ReasoningWriting and Proof: III.Explain why or why not th
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Description: Mathematical ReasoningWriting and Proof: III.Explain why or why not the proof of the following result is correct or not correct.Let n be and integer. If 3n – 8 is odd, then n is odd.Proof. Assume that n is odd. Then n = 2k + 1 for some integer k. The

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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