Chapter 12: Q. 2 (page 1173)

In the following exercises, write the first five terms of the sequence whose general term is given.
$a_{n} = 5 n - 1$

Short Answer

Expert verified

The first five terms of the sequence whose general term is $a_{n} = 5 n - 1$ are $4, 9, 14, 19, 24$ .

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegeneraltermforthesequenceisgivenas \\ a_{n} = 5 n - 1 \\ Wehavetofindthefirstfivetermsofthesequence. \end{array}$

Step 2. Calculating the first five terms.

$\begin{array}{l} Wewillsubstitute n = 1, 2, 3, 4 and 5 intheordertoobtainthefirstfivetermsofthesequence. \\ Now, \end{array}$

\begin{matrix} n & 1 & 2 & 3 & 4 & 5 \\ a_{n} & \begin{array}{l} a_{1} = 5 (1) - 1 \\ = 5 - 1 \\ = 4 \end{array} & \begin{array}{l} a_{2} = 5 (2) - 1 \\ = 10 - 1 \\ = 9 \end{array} & \begin{array}{l} a_{3} = 5 (3) - 1 \\ = 15 - 1 \\ = 14 \end{array} & \begin{array}{l} a_{4} = 5 (4) - 1 \\ = 20 - 1 \\ = 19 \end{array} & \begin{array}{l} a_{5} = 5 (5) - 1 \\ = 25 - 1 \\ = 24 \end{array} \end{matrix}

Step 3. Conclusion

From the above step, we can observe that the first five terms of the sequence will be $4, 9, 14, 19, 24$

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.

In the following exercises, write the first five terms of the sequence whose general term is given.
$a_{n} = 5 n - 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the first five terms.

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Applied Mathematics

Pure Maths

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, write the first five terms of the sequence whose general term is given.an=5n−1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the first five terms.

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Applied Mathematics

Pure Maths

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, write the first five terms of the sequence whose general term is given.
$a_{n} = 5 n - 1$