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: 19


$a_1=3$ $a_2=3\sqrt 5$ $a_3=15$ $a_4=15\sqrt 5$ $a_5=75$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=3,~~r=\sqrt 5$ $a_2=3(\sqrt 5)^{2-1}=3\sqrt 5$ $a_3=3(\sqrt 5)^{3-1}=3(\sqrt 5)^2=3(5)=15$ $a_4=3(\sqrt 5)^{4-1}=3(\sqrt 5)^3=3(5\sqrt 5)=15\sqrt 5$ $a_5=3(\sqrt 5)^{5-1}=3(\sqrt 5)^4=3(25)=75$
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