Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.3 - Geometric Sequences and Series - Exercise Set - Page 856: 82


The answer is $\$1,073,741,823$.

Work Step by Step

Saving first day $=\$1$. Second day $=\$2$. Third day $=\$4$. and so on. The series is $1,2,4,8...$ this is the geometric series. Common ratio is $r=2$. The sum of the first $15$ days is $S_{30}=\frac{1(1−2^{30})}{1−2}$ Simplify. $S_{30}=1,073,741,823$.
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