Chapter 12: Q 78. (page 1184)

In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 7, - 2, 3, 8, 13, 18, \dots$

Short Answer

Expert verified

The obtained value of d is 5.

Step by step solution

Step 1. Given Information.

Consider the given information.

$- 7, - 2, 3, 8, 13, 18, \dots$

Step 2. Find the consecutive difference of the sequence.

Find the difference between the consecutive terms.

$\begin{array}{rcl} - 2 - (- 7) & = & 5 \\ 3 - (- 2) & = & 5 \\ 8 - 3 & = & 5 \\ 13 - 8 & = & 5 \\ 18 - 13 & = & 5 \end{array}$

Since the common difference is the same.
The value of the common difference is $d = 5$ .

Step 3. Conclusion.

The sequence is an arithmetic sequence and the common difference is d=5.

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In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 7, - 2, 3, 8, 13, 18, \dots$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Find the consecutive difference of the sequence.

Step 3. Conclusion.

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In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.−7,−2,3,8,13,18,…

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Find the consecutive difference of the sequence.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Calculus

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 7, - 2, 3, 8, 13, 18, \dots$