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Chapter 11: Q. 17 (page 586)

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 (鈭�2)鈭�(鈭�6)=鈭�2+6=4

The difference between the next two terms is 2鈭�(鈭�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.

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