Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.3 Geometric Sequences; Geometric Series - 12.3 Assess Your Understanding - Page 824: 50

Answer

$28,697,812$

Work Step by Step

We have to compute the sum of the geometric sequence: $\sum_{n=1}^{15} 4\cdot 3^{n-1}$ The elements of the geometric sequence are: $a_1=4$ $r=3$ $n=15$ Use a graphing utility to find the sum of the geometric sequence: $sum\left(seq\left(4\cdot 3^{n-1},n,1,15\right)\right)=28,697,812$
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