Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises: 13

Answer

$$a_n = \frac{1}{2n}.$$

Work Step by Step

Our first term is $a_1 = \frac{1}{2}$. The numerator is consistently 1, while the denominator is doubled for each value of $n$. Hence the formula for $a_n$ is $$a_n = \frac{1}{2n}.$$
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