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
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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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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