Chapter 11: Q20. (page 581)

Find the next four terms of each arithmetic sequence.
$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$

Short Answer

Expert verified

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

Step by step solution

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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Find the next four terms of each arithmetic sequence.
$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Step by step solution

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Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the next four terms of each arithmetic sequence.
$\frac{18}{5}, \frac{16}{5}, \frac{14}{5}, . . .$