/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q17. Find the next four terms of each... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q17. (page 581)

Find the next four terms of each arithmetic sequence.

-6, -2, 2, 鈥�

Short Answer

Expert verified

The next four terms of the arithmetic sequence are6, 10, 14, 18.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is -6, -2, 2, 鈥�

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is -2--6=-2+6=4

The difference between the next two terms is 2--2=2+2=4

So, the common difference is 4.

The next term in the arithmetic sequence is 2+4=6

The next term in the arithmetic sequence is 6+4=10

The next term in the arithmetic sequence is 10+4=14

The next term in the arithmetic sequence is 14+4=18

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 6, 10, 14, 18.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the first five terms of each arithmetic sequence described.

a1=41,d=5

Find the sum of each arithmetic series.

鈭�n=17(2n+1)

Refer to the first three arrays of numbers below.

Make drawings to find the next three numbers in this pattern.

Explain why the sequence 4, 5, 7, 10, 14, 鈥� is not arithmetic.

Find the arithmetic means in each sequence.

3, ?, ?, ?, ?, ? , 27
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.