Let a, m € Z+ and (a,m) = (a - 1, m) = 1. Then prove that 1+a+...+ a(m)-1 = 0(modm)
Let a, m € Z+ and (a,m) = (a - 1, m) = 1. Then prove that 1+a+...+ a(m)-1 = 0(modm)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 62E
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![Let a, me Z+ and (a,m) = (a - 1, m) = 1. Then prove that
1+a+...+ a(m)-1 = 0(modm)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ef756e0-cba5-45a0-8166-76b9a346b237%2F0dd6d353-f9b6-4852-89ea-874397ccebd6%2F3ldd2m2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let a, me Z+ and (a,m) = (a - 1, m) = 1. Then prove that
1+a+...+ a(m)-1 = 0(modm)
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