Let k be any integer greater than 1. Prove that for all n 20, we je: (k- 1)-[ +k' + +.+*'] + 1="+1) 2 k +k +k +...+ k (n+1) +1= k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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Let k be any integer greater than 1. Prove that for all n 2 0, we
ve:
(k – 1)·[a° + k' + k° +.+"] + 1=k"+1)
п
(k – 1)·[k + k +k +...+ k' ] +1=k
Transcribed Image Text:Let k be any integer greater than 1. Prove that for all n 2 0, we ve: (k – 1)·[a° + k' + k° +.+"] + 1=k"+1) п (k – 1)·[k + k +k +...+ k' ] +1=k
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