Calculus 8th Edition

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: 18


$a_{n}$ = $sin(n\pi/2)$

Work Step by Step

We can see that every odd term is either 1 or -1 and all even terms are 0. This hints that we are dealing with a trigonometric function with relation to $\pi$. The oscillation of this sequence matches a $sin$ graph, as $sin(pi/2)$ = 1, $sin(2pi/2) = 0, sin(3pi/2) = -1 $ and so forth.
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