Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 795: 40

Answer

$a_7=20480$

Work Step by Step

$a_1=5$ $r=\frac{a_2}{a_1}=\frac{a_3}{a_2}$ $r=\frac{20}{5}=\frac{80}{20}=4$ $a_n=a_1r^{n-1}$ $a_7=5(4)^{7-1}=5(4)^6=5(4096)=20480$
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