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Chapter 11: Q16. (page 581)

Find the next four terms of each arithmetic sequence.

31, 24, 17, …

Short Answer

Expert verified

The next four terms of the arithmetic sequence are10, 3, -4, -11.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 31, 24, 17, …

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 24-31=-7

The difference between the next two terms is 17-24=-7

So, the common difference is -7.

The next term in the arithmetic sequence is 17-7=10

The next term in the arithmetic sequence is 10-7=3

The next term in the arithmetic sequence is 3-7=-4

The next term in the arithmetic sequence is -4-7=-11

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 10, 3, -4, -11.

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