How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N

How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N

Name: How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) an
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Description: How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N.

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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