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Chapter 11: Q4. (page 580)

Find the next four terms of each arithmetic sequence.

12, 16, 20, 鈥�

Short Answer

Expert verified

The next four terms of the arithmetic sequence are24, 28, 32, 36.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 12, 16, 20, 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 16鈭�12=4

The difference between the next two terms is 20鈭�16=4

So, the common difference is 4.

The next term in the arithmetic sequence is 20+4=24

The next term in the arithmetic sequence is 24+4=28

The next term in the arithmetic sequence is 28+4=32

The next term in the arithmetic sequence is 32+4=36

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 24, 28, 32, 36.

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