15. If n €Z, then n² +3n +4 is even. (Try cases.) 16. If two integers have the same parity, then their sum is even. (Try cases.) 17. If two integers have opposite parity, then their product is even.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
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15. If n €Z, then n² +3n +4 is even. (Try cases.)
16. If two integers have the same parity, then their sum is even. (Try cases.)
17. If two integers have opposite parity, then their product is even.
Transcribed Image Text:15. If n €Z, then n² +3n +4 is even. (Try cases.) 16. If two integers have the same parity, then their sum is even. (Try cases.) 17. If two integers have opposite parity, then their product is even.
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