question 7 Plz provide hand written answer
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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question 7
Plz provide hand written answer
Transcribed Image Text:8
7.
For each integern2 1, let P(n) be the following equation
n+1
Si 2 = n2"+2+2.
i=1
71+1
Note that the left had side of the equation is
i:2 = 1-2+2-22+3-2°+ +n-2" +(n+1)2"+1
.3B
(a) Write P(1). Is P(1) true?
(b) Use mathematical induction to prove that P(n) holds true for all integers n > 1.
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