Problem 5.5 Prove that for every positive integer n, 1 1+ V2 1 + V3 1 > 2(Vn +1- 1)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Problem 5.5**
Prove that for every positive integer \( n \),
\[
1 + \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \cdots + \frac{1}{\sqrt{n}} > 2(\sqrt{n+1} - 1)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07a7d798-02df-4f9b-9ae9-e3ac676193b7%2Fa7e51c5d-1acc-41cb-8d7c-5bea2602a069%2Fjs0s4e_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 5.5**
Prove that for every positive integer \( n \),
\[
1 + \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \cdots + \frac{1}{\sqrt{n}} > 2(\sqrt{n+1} - 1)
\]
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