Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 9 - Conic Sections, Sequences, and Series - 9.5 Series - 9.5 Exercises - Page 746: 6

Answer

$3+9+27+81=120$

Work Step by Step

We have to sum the first four terms of the sequence whose general term is $a_{n}=3^{n}$. This yields $\sum\limits^{4}_{n=1}(3^{n})=3^{1}+3^{2}+3^{3}+3^{4}$ $=3+9+27+81=120$
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