Let m, n be odd integers. Prove that m +n is even. Remember: An integer b is odd iff 3k. (kE ZA 2k + 1 = b) an integer d is even iff 3k. (kE ZA 2k = d)
Let m, n be odd integers. Prove that m +n is even. Remember: An integer b is odd iff 3k. (kE ZA 2k + 1 = b) an integer d is even iff 3k. (kE ZA 2k = d)
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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Transcribed Image Text:Let m, n be odd integers. Prove that m + n is even.
Remember:
An integer b is odd iff 3k. (k EZ A 2k + 1 = b)
an integer d is even iff 3k. (k = Z^2k = d)
Transcribed Image Text:Prove using mathematical induction:
(7-4) is divisible by 3, for all n E N, n > 1.
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