Chapter 12: Q. 262 (page 1218)

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.
$13, 9, 5, 1, - 3, - 7, . . . . .$

Short Answer

Expert verified

The sequence $13, 9, 5, 1, - 3, - 7, . . . . .$ is arithmetic with common difference $- 4$ .

Step by step solution

Step 1. Given information

The sequence is $13, 9, 5, 1, - 3, - 7, . . . . .$ .

We have to determine if this sequence is arithmetic, and if so, we have to indicate the common difference.

Step 2. Find the difference between the consecutive terms

Find the difference between each term and its preceding term.

$9 - 13 = - 4 5 - 9 = - 4 1 - 5 = - 4 - 3 - 1 = - 4 - 7 - (- 3) = - 4$

Step 3. Check if the difference is constant

Since the difference is found to be constant, this sequence is arithmetic.

This constant difference is called the common difference.

Therefore, the common difference is $- 4$ .

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In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.
$13, 9, 5, 1, - 3, - 7, . . . . .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the difference between the consecutive terms

Step 3. Check if the difference is constant

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In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.13,9,5,1,−3,−7,.....

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the difference between the consecutive terms

Step 3. Check if the difference is constant

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Logic and Functions

Discrete Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.
$13, 9, 5, 1, - 3, - 7, . . . . .$