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Chapter 11: Q5. (page 580)

Find the next four terms of each arithmetic sequence.

3, 1, -1, 鈥�

Short Answer

Expert verified

The next four terms of the arithmetic sequence are-3, -5, -7, -9.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 3, 1, -1, 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 1鈭�3=鈭�2

The difference between the next two terms is 鈭�1鈭�1=鈭�2

So, the common difference is -2.

The next term in the arithmetic sequence is 鈭�1鈭�2=鈭�3

The next term in the arithmetic sequence is 鈭�3鈭�2=鈭�5

The next term in the arithmetic sequence is 鈭�5鈭�2=鈭�7

The next term in the arithmetic sequence is 鈭�7鈭�2=鈭�9

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are -3, -5, -7, -9.

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