Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.3 Analyze Geometric Sequences and Series - Guided Practice for Examples 5 and 6 - Page 813: 8


$\approx75$ (billion).

Work Step by Step

The sum of a geometric sequence until $n$ can be obtained by the formula $S_n=a_1(\frac{1-r^n}{1-r})$ where $a_1$ is the first term and $r$ is the common ratio. Hence here the sum is: $S_{11}=5.02(\frac{1-(1.059)^{11}}{1-(1.059)})\approx75$ (billion).
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