Chapter 11: Q. 26 (page 586)

Find the first five terms of each arithmetic sequence described.
$a_{1} = 12, d = - 3$

Short Answer

Expert verified

The first five terms of the arithmetic sequence describedare12, 9, 6, 3, 0.

Step by step solution

Step 1. Given Information.

Given arithmetic sequence is described by $a_{1} = 12, d = - 3$

Step 2. Calculation.

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is $a_{1} = 12$

And, the common difference is $d = - 3$ .

The second term in the arithmetic sequence is:

$\begin{matrix} a_{2} = a_{1} + d \\ a_{2} = 12 - 3 \\ a_{2} = 9 \end{matrix}$

The third term in the arithmetic sequence is:

$\begin{matrix} a_{3} = a_{2} + d \\ a_{3} = 9 - 3 \\ a_{3} = 6 \end{matrix}$

The fourth term in the arithmetic sequence is:

$\begin{array}{l} a_{4} = a_{3} + d \\ a_{4} = 6 - 3 \\ a_{4} = 3 \end{array}$

The fifth term in the arithmetic sequence is:

$\begin{array}{l} a_{5} = a_{4} + d \\ a_{5} = 3 - 3 \\ a_{5} = 0 \end{array}$

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are 12, 9, 6, 3, 0.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the first five terms of each arithmetic sequence described.
$a_{1} = 12, d = - 3$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Probability and Statistics

Mechanics Maths

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the first five terms of each arithmetic sequence described.a1=12,d=−3

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Probability and Statistics

Mechanics Maths

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the first five terms of each arithmetic sequence described.
$a_{1} = 12, d = - 3$