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 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 11 - Infinite Sequences and Series - 11.1 Sequences - 11.1 Exercises - Page 744: 13
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