2 For any integer n, n² + 2n + 3 is even if and only if 4|(n² – 2n — 7).
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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Detailed Proof for number 2 and how the proof should be typed in math type LATEX(overleaf) thank you

Transcribed Image Text:1 For any integer k, 3|(2k² + 1) if and only if 3 | k
2 For any integer n, n² + 2n + 3 is even if and only if 4|(n² — 2n — 7).
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