Discrete Mathematics with Applications 4th Edition

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

Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.1 - Page 242: 1

Answer

$\begin{split} a_f & = \frac{f}{10 + f} \\ & \\ a_1 & = \frac{1}{10 + 1}\\ & = \frac{1}{11}\\ & \\ a_2 & = \frac{2}{10 + 2} \\ & = \frac{2}{12} \\ & = \frac{1}{6} \\ & \\ a_3 & = \frac{3}{10 + 3}\\ & = \frac{3}{13}\\ & \\ a_4 & = \frac{4}{10 + 4} \\ & = \frac{4}{14} \\ & = \frac{2}{7} \\ \end{split}$

Work Step by Step

Just substitute $a_k$ by the index, starting from 1, because the sequence is defined for $k\geq1$, substitute the values and calculate.
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