Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 9

Answer

geometric, $r= 8$ $S_n= \frac{8(8^n-1)}{7}$

Work Step by Step

1. Based on the given sequence, we can determine it is geometric, 2. We can find the common ratio as $r=\frac{s_2}{s_1}=\frac{2^6}{2^3}=2^3=8$ 3. We can find the sum of the first n terms as $S_n=\frac{s_1(r^n-1)}{r-1}=\frac{2^3(8^n-1)}{8-1}=\frac{8(8^n-1)}{7}$
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.