5. Suppose that a is a positive integer relatively prime to 10. Show that a divides infinitely many 'repunits', i.e., numbers of the form e.g., R₂ = 11, R3 = 111, R4 = Rn = 1111, etc. Hint: 10 Rn = n - 1 1 10 Hint: The case where 3 does not divide a is easier.
5. Suppose that a is a positive integer relatively prime to 10. Show that a divides infinitely many 'repunits', i.e., numbers of the form e.g., R₂ = 11, R3 = 111, R4 = Rn = 1111, etc. Hint: 10 Rn = n - 1 1 10 Hint: The case where 3 does not divide a is easier.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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