Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.8 - Page 225: 5

Answer

$\frac{41}{48}$

Work Step by Step

1. The initial values are $e=0, f=2$; 2. execute $j=1$ and $f=2(1)=2, e=0+\frac{1}{2}=\frac{1}{2}$; 3. execute $j=2$ and $f=2(2)=4, e=\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$; 4. execute $j=3$ and $f=4(3)=12, e=\frac{3}{4}+\frac{1}{12}=\frac{5}{6}$; 5. execute $j=4$ and $f=12(4)=48, e=\frac{5}{6}+\frac{1}{48}=\frac{41}{48}$
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