Prove the following: If m is an even number and n is an odd number, then n 2m is odd. Hint: start with the definition of an even number and the definition of an odd number.
Prove the following: If m is an even number and n is an odd number, then n 2m is odd. Hint: start with the definition of an even number and the definition of an odd number.
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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Transcribed Image Text:### Prove the following:
If \( m \) is an even number and \( n \) is an odd number, then \( n - 2m \) is odd.
**Hint:** start with the **definition** of an even number and the **definition** of an odd number.
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