For each integer n > 2, let P(n) bè thế för n-1 Eili +2) = n(n-1)(2n + 5) 6. %3D i=1

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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2.
For each integer n > 2, let P(n) be the formula
n-1
Ei(i+2) =
n(n - 1)(2n +5)
%3D
i=1
(a) Write P(2). Is P(2) true?
(b) Prove by mathematical induction that P(n) is true for all integers n > 2. The
base step is part (a) of this problem.
In this part, part (b), write the full inductive step of the proof.
Transcribed Image Text:2. For each integer n > 2, let P(n) be the formula n-1 Ei(i+2) = n(n - 1)(2n +5) %3D i=1 (a) Write P(2). Is P(2) true? (b) Prove by mathematical induction that P(n) is true for all integers n > 2. The base step is part (a) of this problem. In this part, part (b), write the full inductive step of the proof.
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