Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - Cumulative Review - Page 848: 39



Work Step by Step

The sum of a geometric sequence to the $n$th term can be obtained by the formula $S_n=a_1(\frac{1-r^n}{1-r})$ where $a_1$ is the first term and $r$ is the common ratio. Hence here the sum is: $S_{12}=1(\frac{1-(\frac{2}{3})^{12}}{1-(\frac{2}{3})})=\frac{527345}{177147}\approx2.977$
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