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: 22


$a_1=4$ $a_2=\frac{4x}{5}$ $a_3=\frac{4x^2}{25}$ $a_4=\frac{4x^3}{125}$ $a_5=\frac{4x^4}{625}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=4,~~r=\frac{x}{5}$ $a_2=4(\frac{x}{5})^{2-1}=4(\frac{x}{5})=\frac{4x}{5}$ $a_3=4(\frac{x}{5})^{3-1}=4(\frac{x}{5})^2=\frac{4x^2}{25}$ $a_4=4(\frac{x}{5})^{4-1}=4(\frac{x}{5})^3=\frac{4x^3}{125}$ $a_5=4(\frac{x}{5})^{5-1}=4(\frac{x}{5})^4=\frac{4x^4}{625}$
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