Chapter 11: Q. 16 (page 586)

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

Step 1. Given Information.

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

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 $- 4 - 7 = - 11$

Step 3. Conclusion.

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

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Find the next four terms of each arithmetic sequence.
31, 24, 17, …

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the next four terms of each arithmetic sequence.31, 24, 17, …

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Find the next four terms of each arithmetic sequence.
31, 24, 17, …