The inductive step of an inductive proof shows that for k > 0, if Στo 2 = 2k+1 – 1, then Σ± 20 = 2k+2 – 1. In which step of the proof is the inductive hypothesis used? Step 4 Ο Step 1 Ο Step 3 Step 2 k+1 Στις 23 Σ* +1 23 Στο 23 k+1 = Σ+ 2 = 2-2 – 1 2³ = ₁02³ +2k+1 = (2k+1 -1) + 2k+1 = 2.2k+1 – 1 D (Step 1) (Step 2) (Step 3) (Step 4)
The inductive step of an inductive proof shows that for k > 0, if Στo 2 = 2k+1 – 1, then Σ± 20 = 2k+2 – 1. In which step of the proof is the inductive hypothesis used? Step 4 Ο Step 1 Ο Step 3 Step 2 k+1 Στις 23 Σ* +1 23 Στο 23 k+1 = Σ+ 2 = 2-2 – 1 2³ = ₁02³ +2k+1 = (2k+1 -1) + 2k+1 = 2.2k+1 – 1 D (Step 1) (Step 2) (Step 3) (Step 4)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 30E
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