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(a) Prove that 82n – 12" is divisible by 13 for all nɛ N.

(a) Prove that 82n – 12" is divisible by 13 for all nɛ N.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 55E
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(a) Prove that 82n 12" is divisible by 13 for all n E N. (b) Determine all solutions x € Z to the system of congruences x = 1 (mod 6), x = 2 (mod 50).
Transcribed Image Text:(a) Prove that 82n 12" is divisible by 13 for all n E N. (b) Determine all solutions x € Z to the system of congruences x = 1 (mod 6), x = 2 (mod 50).
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