Answer
The common ratio is $r=3$.
Work Step by Step
The given sequence is
$4,12,36,108,...$
Calculate the ratio between each pair of consecutive terms.
$\frac{12}{4}=3$
$\frac{36}{12}=3$
$\frac{108}{36}=3$
Hence, the common ratio is $r=3$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.6 - Geometric Sequences - Exercises - Page 336: 3
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