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 $$a_n = \frac{1}{2n}.$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 13
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