Answer
$8184$
Work Step by Step
The sum of the finite geometric series can be computed as: $S_n=\dfrac{a_1(1-r^n)}{1-r}$
We have: $a_1=(4)(2)=8$, $r=2$ and $n=10$
Therefore,
$S_{10}=\dfrac{(8)(1-2^{10})}{1-2}=8(2^{10}-1) =8184$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 13 - Sequences and Series - 13.3 Finite Geometric Series - Exercises and Problems for Section 13.3 - Exercises and Problems - Page 552: 6
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