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15. If n €N, then 1 1 1 1 + ·+—+—+ 1-2 2-3 3-4 4-5 + 1 n(n+1) 1- 1. n+1

15. If n €N, then 1 1 1 1 + ·+—+—+ 1-2 2-3 3-4 4-5 + 1 n(n+1) 1- 1. n+1

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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subject: discrete math

Prove the following statements with either induction, strong induction or proof by smallest counterexample.
Transcribed Image Text:Prove the following statements with either induction, strong induction or proof by smallest counterexample.
1 1 1 1 + + 1-2 2-3 3-4 4-5 15. If neN, then + + + 1 n(n+1) = 1- 1 n+1
Transcribed Image Text:1 1 1 1 + + 1-2 2-3 3-4 4-5 15. If neN, then + + + 1 n(n+1) = 1- 1 n+1
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