Chapter 12: Q. 268 (page 1218)

Find the seventeenth term of a sequence where the first term is $- 21$ and the common difference is two.

Short Answer

Expert verified

The seventeenth term of a sequence is $11$

Step by step solution

Step 1. Given information

The first term of the series is $- 21$

The common difference is $2$

We have to find the $17^{t h}$ term of the series.

Step 2. Using formula to find the term.

The general term of the arithmetic series with the first term $a_{1}$ and common difference $d$ is: $a_{n} = a_{1} + (n - 1) d$

We have, $n = 17 a_{1} = - 21 d = 2$

Step 3. Put the values to find the term

Put the obtained value in the formula:

$a_{n} = a_{1} + (n - 1) d a_{17} = - 21 + (17 - 1) 2 a_{17} = - 21 + (16) 2 a_{17} = - 21 + 32 a_{17} = 11$

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 seventeenth term of a sequence where the first term is $- 21$ and the common difference is two.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Using formula to find the term.

Step 3. Put the values to find the term

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Calculus

Logic and Functions

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the seventeenth term of a sequence where the first term is -21and the common difference is two.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Using formula to find the term.

Step 3. Put the values to find the term

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Calculus

Logic and Functions

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the seventeenth term of a sequence where the first term is $- 21$ and the common difference is two.