Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - 14.3 Geometric Sequences and Series - 14.3 Exercise Set: 30

Answer

$a_n=2\times2^{n-1}=2^n$

Work Step by Step

The general term in a geometric sequence is: $a_n=a_1\times r^{n-1}$ Here, $a_1=2$ We can find the common ratio by dividing two subsequent terms: $r=\frac{a_2}{a_1}=\frac{4}{2}=2$ The general term is: $a_n=2\times2^{n-1}=2^n$
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