15.2.14. Let R be a ring with identity. Let n be a positive integer and assume that n1 = 1 + 1 +· +10. Show that nx = 0 for every x Є R. n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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15.2.14. Let R be a ring with identity. Let n be a positive integer and assume that
n1 = 1 + 1 +· +10. Show that nx = 0 for every x Є R.
n
Transcribed Image Text:15.2.14. Let R be a ring with identity. Let n be a positive integer and assume that n1 = 1 + 1 +· +10. Show that nx = 0 for every x Є R. n
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