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: 28

Answer

$\{s_n\}=\frac{1}{n(n+1)}$.

Work Step by Step

The pattern suggests that $\{s_n\}=\frac{1}{n(n+1)}$ because the numerator is constantly $1$, whilst the denominator begins at the first two positive integers' product and at each new element, the integers increase by $1$.
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