Evaluate the following proof of the result "For any integer n, if 19n – 7 is odd, then n is even." Proposed proof: Let n be any even integer. Then n = 2k for some integer k. Consider 19n – 7 = 19(2k) – 7 = 38k – 7 = 38k – 8+1 = 2(19k – 4) + 1 Since 19k – 4 € Z, we have shown that 19n – 7 is odd.

Evaluate the following proof of the result "For any integer n, if 19n – 7 is odd, then n is even." Proposed proof: Let n be any even integer. Then n = 2k for some integer k. Consider 19n – 7 = 19(2k) – 7 = 38k – 7 = 38k – 8+1 = 2(19k – 4) + 1 Since 19k – 4 € Z, we have shown that 19n – 7 is odd.

Name: Evaluate as in is there a mistake in the proof? If so show. If no mist
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Description: Evaluate as in is there a mistake in the proof? If so show. If no mistake state result or show. Evaluate the following proof of the result "For any integer n, if 19n – 7 is odd, then n iseven."Proposed proof: Let n be any even integer. Then n = 2k fo

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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