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 1076: 89

Answer

The amount by which we multiply each time is called the common ratio of the sequence. The general form of the geometric sequence is $a,ar,a{{r}^{2}},a{{r}^{3}},\cdots $. And $r$ is the common ratio.

Work Step by Step

The geometric sequence is the sequence in which each term after the first is obtained by multiplying the preceding term by a fixed nonzero constant ($r$). $a,ar,a{{r}^{2}},a{{r}^{3}},\cdots $. Consider the sequence, $1,2,4,8,16\ldots $ In the sequence given above, the common ratio between two consecutive term is constant. For example, $\begin{align} & \frac{2}{1}=\frac{4}{2} \\ & =\frac{8}{4} \\ & =\frac{16}{8} \\ & =2 \end{align}$ So, 2 is the fixed nonzero common ratio.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.