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: 14

Answer

$a_{n}$ = $-1^{n+1}$ * $4^{2-n}$

Work Step by Step

Our first term is $a_{1}$ = $4$ and gradually gets exponentially smaller. However, the terms also alternate between positive or negative. Thus, we need to factor in a $-1$ term.
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