Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 795: 5

Answer

It is a geometric sequence. $r=2$

Work Step by Step

A sequence is geometric if $\frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_4}{a_3}=...=r$ For the given sequence we have that: $\frac{a_2}{a_1}=\frac{6}{3}=2$ $\frac{a_3}{a_2}=\frac{12}{6}=2$ $\frac{a_4}{a_3}=\frac{24}{12}=2$ It is a geometric sequence. Common ratio: $r=2$
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