4. Let n and k be two positive integers with n 2. Prove that (n 1)² divides n-1 if and only if n -1 divides k. |
4. Let n and k be two positive integers with n 2. Prove that (n 1)² divides n-1 if and only if n -1 divides k. |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
4
Transcribed Image Text:3. Prove that if n is odd, then 8 divides n2 – 1. Prove that 6 divides n3
- п.
|
4. Let n and k be two positive integers with n > 2. Prove that (n - 1)² divides nk
-1 if
and only if n - 1 divides k.
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