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: 6


The first five terms are $0, -1, 0, 1, 0.$

Work Step by Step

To find the first five terms of $a_n = \cos{(\frac{n\pi}{2})}$, we must plug in $n=1, n=2, n=3, n=4$ and $n=5.$ Hence the first five terms are $\cos{(\frac{\pi}{2})}, \cos{(\pi)}, \cos{(\frac{3\pi}{2})}, \cos{(2\pi)}$, and $\cos{(\frac{5\pi}{2})}$, i.e. $$0, -1, 0, 1, 0.$$
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