Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Find the next four terms of each arithmetic sequence.

$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$

The next four terms of the arithmetic sequence are $\frac{12}{5}, 2, \frac{8}{5}, \frac{6}{5}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The given arithmetic sequence is $\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$

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 $\frac{16}{5} - \frac{18}{5} = - \frac{2}{5}$

The difference between the next two terms is $\frac{14}{5} - \frac{16}{5} = - \frac{2}{5}$

So, the common difference is $- \frac{2}{5}$

The next term in the arithmetic sequence is $\frac{14}{5} - \frac{2}{5} = \frac{12}{5}$

The next term in the arithmetic sequence is $\frac{12}{5} - \frac{2}{5} = \frac{10}{5} = 2$

The next term in the arithmetic sequence is $2 - \frac{2}{5} = \frac{8}{5}$ .

The next term in the arithmetic sequence is $\frac{8}{5} - \frac{2}{5} = \frac{6}{5}$ .

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are $\frac{12}{5}, 2, \frac{8}{5}, \frac{6}{5}$ .

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Algebra 2

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Short Answer

Find the next four terms of each arithmetic sequence.

$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$

Step by Step Solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the next four terms of each arithmetic sequence.

$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$