Algebra and Trigonometry 10th Edition

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

Chapter 11 - Review Exercises - Page 841: 47


$a_n=100r^{n-1}$ $a_1=100$ $a_2=105$ $a_3=110.25$ $a_4=15.7625$ $a_5=121.550625$

Work Step by Step

$a_1=100,~~r=1.05$ The nth term of a geometric sequence: $a_n=a_1r^{n-1}$ $a_n=100r^{n-1}$ $a_2=100(1.05)^{2-1}=100(1.05)=105$ $a_3=100(1.05)^{3-1}=100(1.05)^2=100(1.1025)=110.25$ $a_4=100(1.05)^{4-1}=100(1.05)^3=100(1.157625)=115.7625$ $a_5=100(1.05)^{5-1}=100(1.05)^4=100(1.21550625)=121.550625$
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