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Prove that 1+r+r^2+...+r^n=(1-r^(n+1))/1-r for all n in N when r doesn't equal 1.

Prove that 1+r+r^2+...+r^n=(1-r^(n+1))/1-r for all n in N when r doesn't equal 1.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 20E
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Prove that 1+r+r^2+...+r^n=(1-r^(n+1))/1-r for all n in N when r doesn't equal 1.
Transcribed Image Text:Prove that 1+r+r^2+...+r^n=(1-r^(n+1))/1-r for all n in N when r doesn't equal 1.
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