PPOVE ky contpadiction ok contraporitive:If h3 +6 Is odd, then n is even(3,O

Name: PPOVE ky contpadiction ok contraporitive:If h3 +6 Is odd, then n is e
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Description: PPOVE ky contpadiction ok contraporitive:If h3 +6 Is odd, then n is even(3,O

Answered: O PPOve by contraliction ok…

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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PPOVE ky contpadiction ok contraporitive:
If h3 +6 Is odd, then n is even
(3,
O

Expert Solution

Step 1

The given statement is "If $n^{3} + 5$ is odd, the n is even".

The method of contradiction is used to prove the above statement.

Proof by contradiction:

Suppose that $n^{3} + 5$ is odd, the n is odd. That is, there is a k such that $n = 2 k + 1$ .

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