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Chapter 11: Q. 20 (page 586)

Find the next four terms of each arithmetic sequence.

185,165,145,...

Short Answer

Expert verified

The next four terms of the arithmetic sequence are125,2,85,65 .

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is185,165,145,...

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 165鈭�185=鈭�25

The difference between the next two terms is 145鈭�165=鈭�25

So, the common difference is 鈭�25

The next term in the arithmetic sequence is 145鈭�25=125

The next term in the arithmetic sequence is 125鈭�25=105=2

The next term in the arithmetic sequence is 2鈭�25=85.

The next term in the arithmetic sequence is 85鈭�25=65.

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 125,2,85,65.

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