Question 3. Prove that 6 divides n³ -
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:Exercise 4:
Use mathematical induction to prove divisibility facts for any positive integer r
Question 1. Prove that 2 divides n² + n.
Question 2. Prove that 3 divides n³ + 2n.
Question 3. Prove that 6 divides n³
Question 4. Prove that 7" - 2n is divisible by 5 for any integer n ≥ 1.
-n.
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