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: 48

Answer

$5115$

Work Step by Step

Here, we have $a_n=5(2)^{i-1}$ and $a_1=5(2)^{1-1}=5$ Common ratio $r=2$ Now, $S_{10}=a_1(\dfrac{1-r^{10}}{1-r})$ or, $S_{10}=5 \times (\dfrac{1-2^{10}}{1-2})$ or, $S_{10}=5 \times (\dfrac{1-1024}{-1})=5115$
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