   Chapter 11.4, Problem 39ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Calculate the values of the harmonic sums 1 + 1 2 + 1 3 + ⋯ + 1 n for n = 2 ,   3 ,   4 , and 5.

To determine

Calculate the values of the harmonic sums 1+12+13+...+1n for n = 2, 3, 4, and 5.

Explanation

Given information:

1+12+13+...+1n for n = 2, 3, 4, and 5.

Calculation:

We need to evaluate the harmonic sum when n = 2, 3, 4, 5.

n                   Harmonic sum

n=2             1+12=32=1.5

n=3             1+12+13=66+36+26=1161.8333

n=4             1+12+13+14=1212+612+412+312=25122

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