(b) Prove that any odd number is expressible in the form 4n + 1 or 4n + 3 where n is an integer.
(b) Prove that any odd number is expressible in the form 4n + 1 or 4n + 3 where n is an integer.
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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Prove to best of ability. Only 85b.
Transcribed Image Text:85. (a) Prove that any integer is expressible in the form 4n, 4n + 1, 4n + 2,
or 4n + 3 where n is an integer.
(b) Prove that any odd number is expressible in the form 4n + 1 or
4n + 3 where n is an integer.
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