Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 807: 34

Answer

$\{s_n\}=2n\cdot{(-1)^{n+1}}.$

Work Step by Step

By looking at the pattern: $\{s_n\}=2n\cdot{(-1)^{n+1}}.$ Because the sequence begins at $2$ and alternates the sign at each new term and also, the absolute value of the function increases by $2$ at each new term.
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