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Chapter 11: Q15. (page 581)

Find the next four terms of each arithmetic sequence.

9, 16, 23, …

Short Answer

Expert verified

The next four terms of the arithmetic sequence are30, 37, 44, 51

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 9, 16, 23, …

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 16-9=7

The difference between the next two terms is 23-16=7

So, the common difference is 7.

The next term in the arithmetic sequence is 23+7=30

The next term in the arithmetic sequence is 30+7=37

The next term in the arithmetic sequence is 37+7=44

The next term in the arithmetic sequence is 44+7=51

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 30, 37, 44, 51.

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