Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 778: 89


(a) $\frac{7}{8}$ (b) $\frac{15}{16}$ (c) $\frac{31}{32}$

Work Step by Step

$\displaystyle \sum_{i=1}^{∞}(\frac{1}{2})^i$ (a) $(\frac{1}{2})^1+(\frac{1}{2})^2+(\frac{1}{2})^3=\frac{1}{2}+\frac{1}{8}+\frac{1}{8}=\frac{7}{8}$ (b) $(\frac{1}{2})^1+(\frac{1}{2})^2+(\frac{1}{2})^3+(\frac{1}{2})^4=\frac{1}{2}+\frac{1}{8}+\frac{1}{8}+\frac{1}{16}=\frac{15}{16}$ (c) $(\frac{1}{2})^1+(\frac{1}{2})^2+(\frac{1}{2})^3+(\frac{1}{2})^4+(\frac{1}{2})^5=\frac{1}{2}+\frac{1}{8}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}=\frac{31}{32}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.