Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.3 Analyze Geometric Sequences and Series - 12.3 Exercises - Skill Practice - Page 815: 56b


$S_{n}=(3x) \dfrac{1-16x^8}{1-2x^2}$

Work Step by Step

Here, we have a common ratio $r=x$ and $a_1= 1$ We are given that $S_5= (3x) \sum_{i=1}^4 (2x)^{2i-2}$ We know that $S_{n}=a_1(\dfrac{r^{n}-1}{r-1})$ Hence, $S_{n}=(3x) \dfrac{1-16x^8}{1-2x^2}$
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.