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Please help me solve this problem about cases, contradictions, and counterexamples. Thank you.

Please help me solve this problem about cases, contradictions, and counterexamples. Thank you.

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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Please help me solve this problem about cases, contradictions, and counterexamples. Thank you. 

**Problem 3** Prove that if \( n \) is an integer, then \( 3n^2 + n + 4 \) is even. **Hint:** Divide into cases based on whether \( n \) is odd or even.
Transcribed Image Text:**Problem 3** Prove that if \( n \) is an integer, then \( 3n^2 + n + 4 \) is even. **Hint:** Divide into cases based on whether \( n \) is odd or even.
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Step 1: Cases (i) and (ii)

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