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: 44



Work Step by Step

$a_n=a_1r^{n-1}$ $a_2=a_1r$ $a_5=a_1r^4$ $\frac{a_5}{a_2}=\frac{a_1r^4}{a_1r}$ $\frac{\frac{3}{64}}{3}=r^3$ $r^3=\frac{1}{64}$ $r=\sqrt[3] {\frac{1}{64}}=\frac{1}{4}$ $a_2=a_1r$ $a_1=\frac{a_2}{4}=\frac{3}{\frac{1}{4}}=12$
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