6. Given integers a, b, and c, suppose that a-b is even and b-c is even. Determine whether 2a-(b + c) is even or odd, and prove your answer.
6. Given integers a, b, and c, suppose that a-b is even and b-c is even. Determine whether 2a-(b + c) is even or odd, and prove your answer.
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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Given that a-b and b-c both are even integers, then we determine whether 2a-(b+c) is an even integer or an odd integers.
You may think as two cases, any integers are either even or odd
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