Chapter 12: Q 129. (page 1198)

In the exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$48, 24, 12, 6, 3, \frac{3}{2}, . . .$

Short Answer

Expert verified

The sequence is geometric with common ratio equal to $\frac{1}{2}$ .

Step by step solution

Step 1. Given information

The sequence is $48, 24, 12, 6, 3, \frac{3}{2}, . . .$

Step 2. Determine if the sequence is geometric, and if so, indicate the common ratio.

Consider the sequence $48, 24, 12, 6, 3, \frac{3}{2}, . . .$

role="math" localid="1645356554895" $\begin{array}{rcl} \frac{24}{48} & = & \frac{1}{2} \\ \frac{12}{24} & = & \frac{1}{2} \\ \frac{6}{12} & = & \frac{1}{2} \\ \frac{3}{6} & = & \frac{1}{2} \\ \frac{\frac{3}{2}}{3} & = & \frac{1}{2} \end{array}$

So, the sequence is geometric with common ratio equal to $\frac{1}{2}$ .

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In the exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$48, 24, 12, 6, 3, \frac{3}{2}, . . .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine if the sequence is geometric, and if so, indicate the common ratio.

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In the exercise, determine if the sequence is geometric, and if so, indicate the common ratio.48,24,12,6,3,32,...

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine if the sequence is geometric, and if so, indicate the common ratio.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

In the exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$48, 24, 12, 6, 3, \frac{3}{2}, . . .$