Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 34


$\{a_n\}=2n \ (-1)^{n+1}$

Work Step by Step

We that the sequence starts from $2$ and the alternates the sign with each new term. Aside from the sign change, the value gets multiplied by $2$ with each new term. So, we determine the pattern as: $\{a_n\}=2n \ (-1)^{n+1}$
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