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: 6

Answer

$$\frac{1}{2},\frac{3}{4},\frac{7}{8},\frac{15}{16}$$

Work Step by Step

$a_{n}=\frac{2^{n}-1}{2^{n}}$ $$a_{1}=\frac{2^{1}-1}{2^{1}}=\frac{1}{2}$$ $$a_{2}=\frac{2^{2}-1}{2^{2}}=\frac{3}{4}$$ $$a_{3}=\frac{2^{3}-1}{2^{3}}=\frac{7}{8}$$ $$a_{4}=\frac{2^{4}-1}{2^{4}}=\frac{15}{16}$$
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