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: 54



Work Step by Step

Here, we have $S_9=\sum_{i=1}^9 2(3)^{i-1}$ We know that $S_{n}=a_1(\dfrac{1-r^{n}}{1-r})$ Here, $a_1=2(3)^{1-1}=2$ and $r=3$ Now, $S_9=2[\dfrac{1-(3)^{9}}{1-3}]$ or, $=\dfrac{2 \times (-19682)}{-2}$ or, $S_9=19,682$ Hence, our answer is $C$.
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