Chapter 11: Q37. (page 581)

Find the indicated term of each arithmetic sequence.
$a_{12}$ for -17, -13, -9, …

Short Answer

Expert verified

The indicated term of the arithmetic sequence is27.

Step by step solution

Step 1. Given Information.

Given arithmetic sequence is -17, -13, -9, …

Step 2. Calculation.

The n^th term of an arithmetic sequence is given by $a_{n} = a_{1} + (n - 1) d$ .

Here the first term is $a_{1} = - 17$

The difference between the first two terms is $(- 13) - (- 17) = - 13 + 17 = 4$

The difference between the next two terms is $(- 9) - (- 13) = - 9 + 13 = 4$

The common difference is $d = 4$

And the required term is $n = 12$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ a_{12} = - 17 + (12 - 1) (4) \\ a_{12} = - 17 + (11) (4) \\ a_{12} = - 17 + 44 \\ a_{12} = 27 \end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is 27.

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 indicated term of each arithmetic sequence.
$a_{12}$ for -17, -13, -9, …

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

Mechanics Maths

Probability and Statistics

Statistics

Decision Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find the indicated term of each arithmetic sequence.a12 for -17, -13, -9, …

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

Mechanics Maths

Probability and Statistics

Statistics

Decision Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Find the indicated term of each arithmetic sequence.
$a_{12}$ for -17, -13, -9, …