Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.3 - Geoetric Sequences and Series - Exercise Set - Page 1074: 53

Answer

The geometric sequence and the common ratio is $ r=2$.

Work Step by Step

We are given that $ a_n=2^n $ Here, we have the first four terms $ a_1=2, a_2=4,a_3=8,a_4=16$ when $ n=1,2,3,4$ Now, subtract each two consecutive terms as below: $ a_2/a_1=2; a_3/a_2=2=1; a_4/a_3=\dfrac{16}{8}=2$ We can see that this is the geometric sequence and the common ratio is $ r=2$.
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