Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 10: Infinite Sequences and Series - Section 10.1 - Sequences - Exercises 10.1 - Page 569: 1

Answer

$$0,-\frac{1}{4},-\frac{2}{9},-\frac{3}{16}$$

Work Step by Step

We are given the sequence: $a_{n}=(\frac{1-n}{n^{2}})$ We plug in the various $n$ values to get the first 4 terms: $$a_{1}=(\frac{1-1}{1^{2}})=0$$ $$a_{2}=\frac{(1-2)}{2^{2}}=-\frac{1}{4}$$ $$a_{3}=\frac{(1-3)}{3^{2}}=-\frac{2}{9}$$ $$a_{4}=\frac{(1-4)}{4^{2}}=-\frac{3}{16}$$
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