Chapter 12: Q 79. (page 1184)

In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 15, - 16, 3, 12, 21, 30, \dots$

Short Answer

Expert verified

The given sequence is not arithmetic.

Step by step solution

Step 1. Given Information.

Consider the given sequence.

$- 15, - 16, 3, 12, 21, 30, \dots$

Step 2. Find the consecutive difference of the sequence.

Find the difference between the consecutive terms.

$\begin{array}{rcl} - 16 - (- 15) & = & 1 \\ 3 - (- 16) & = & 19 \\ 12 - 3 & = & 9 \\ 21 - 12 & = & 9 \\ 30 - 21 & = & 9 \end{array}$

Since the common difference is not the same.
The value of the common difference does not exist.

Step 3. Conclusion.

The sequence is not an arithmetic sequence.

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In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 15, - 16, 3, 12, 21, 30, \dots$

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. −15,−16,3,12,21,30,…

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

Mechanics Maths

Applied Mathematics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine if the sequence is arithmetic and if so, indicate the common difference.
$- 15, - 16, 3, 12, 21, 30, \dots$