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What is the P(k+1) statement used in the proof by mathematical induction of the ormula: ²-¹² i (i + 1) = (1 + ?) ? + + 4/3 ( 1) = = n(n-1)(n+1) 3 k(k+1) = (k+ 1) (k + 2) - ( (k+1)k(k+2) 3 (k+1)k(k+2) 3 (k+1)k(k+2) 3 Z

What is the P(k+1) statement used in the proof by mathematical induction of the ormula: ²-¹² i (i + 1) = (1 + ?) ? + + 4/3 ( 1) = = n(n-1)(n+1) 3 k(k+1) = (k+ 1) (k + 2) - ( (k+1)k(k+2) 3 (k+1)k(k+2) 3 (k+1)k(k+2) 3 Z

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ¹² i (i + 1) = (1 + ?) ? + + + 3 n(n−1)(n+1) 3 = Σ₁i(i+1) = ○k(k + 1) = (k+1)k(k+2) 3 (k+ 1) (k + 2) = = 2 (k+1)k(k+2) 3 (k+1)k(k+2) 3 Vn>2 (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: Σ¹² i (i + 1) = (1 + ?) ? + + + 3 n(n−1)(n+1) 3 = Σ₁i(i+1) = ○k(k + 1) = (k+1)k(k+2) 3 (k+ 1) (k + 2) = = 2 (k+1)k(k+2) 3 (k+1)k(k+2) 3 Vn>2 (k+1)k(k+2) 3
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