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2. How NOT to show P=Q. Here is an argument that shows that if n² is even, then n is even Proof. If n? = 4, then n = 2. If n² = 16, then n = 4. If n² = 36, then n = 6, and so on. This implies that whenever n² is even, then n must be even. The proof is complete. Is the proof valid? Can you say why or why not?

2. How NOT to show P=Q. Here is an argument that shows that if n² is even, then n is even Proof. If n? = 4, then n = 2. If n² = 16, then n = 4. If n² = 36, then n = 6, and so on. This implies that whenever n² is even, then n must be even. The proof is complete. Is the proof valid? Can you say why or why not?

Advanced Engineering Mathematics
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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2. How NOT to show P Q. Here is an argument that shows that if n2 is even, then n is even Proof. If n? = 4, then n = 2. If n? = 16, then n = 4. If n² = 36, then n = 6, and so on. This implies that whenever n? is even, then n must be even. The proof is complete. SO %3D Is the proof valid? Can you say why or why not?
Transcribed Image Text:2. How NOT to show P Q. Here is an argument that shows that if n2 is even, then n is even Proof. If n? = 4, then n = 2. If n? = 16, then n = 4. If n² = 36, then n = 6, and so on. This implies that whenever n? is even, then n must be even. The proof is complete. SO %3D Is the proof valid? Can you say why or why not?
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