Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 64

Answer

1330

Work Step by Step

See p. 861. For the geometric sequence $a_{n}=ar^{n-1}$ the nth partial sum$ S_{n}=\displaystyle \sum_{k=1}^{n}ar^{k-1}$ (where $r\neq 1$) is given by$ \displaystyle \quad S_{n}=a\cdot\frac{1-r^{n}}{1-r}$ --------------- $S_{n}=64\displaystyle \times\cdot\frac{1-(\frac{3}{2})^{6}}{1-(\frac{3}{2})}=2^{6}\times\frac{2^{6}-3^{6}}{2^{6}}\div(-\frac{1}{2})$ $= -665\times(-2)$ $=1330$
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.