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Chapter 11: Q. 16 (page 586)

Find the next four terms of each arithmetic sequence.

31, 24, 17, 鈥�

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, 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 24鈭�31=鈭�7

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

So, the common difference is -7.

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

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

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

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

03

Step 3. Conclusion.

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

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Most popular questions from this chapter

Find the next four terms of each arithmetic sequence.

185,165,145,...

Find the indicated term of each arithmetic sequence.

a1=3,d=鈭�5,n=24

Find the indicated term of each arithmetic sequence.

a1=20,d=4,n=81

Find the indicated term of each arithmetic sequence.

a21for 121, 118, 115, 鈥�

Explain why the sequence 4, 5, 7, 10, 14, 鈥� is not arithmetic.
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