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What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ=¹² i(i + 1) = = n(n-1)(n+1), \n ≥ 2 3

What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ=¹² i(i + 1) = = n(n-1)(n+1), \n ≥ 2 3

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CT: Chapter Test
Problem 10CT
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What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ + i (i + 1) = n(n-1)(n+1) 3 k(k+ 1) = (k+1)k(k+2) 3 (k+ 1) (k+2) Σ(1+1) = Σ*(1+1) = (k+1)k(k+2) 3 ) — Vn > 2 (k+1)k(k+2) 3 (k+1)k(k+2) 3
Transcribed Image Text:What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ + i (i + 1) = n(n-1)(n+1) 3 k(k+ 1) = (k+1)k(k+2) 3 (k+ 1) (k+2) Σ(1+1) = Σ*(1+1) = (k+1)k(k+2) 3 ) — Vn > 2 (k+1)k(k+2) 3 (k+1)k(k+2) 3
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