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: 24

Answer

$a_8=\frac{4117715)}{128}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=5,~~r=\frac{7}{2}$ $a_8=5(\frac{7}{2})^{8-1}=5(\frac{7}{2})^7=5.\frac{823543}{128}=\frac{5(823543)}{128}=\frac{4117715}{128}$
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