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Chapter 11: Q20. (page 581)

Find the next four terms of each arithmetic sequence.

185,165,145,...

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 185,165,145,...

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 165-185=-25

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

So, the common difference is -25

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

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

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

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

03

Step 3. Conclusion.

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

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Most popular questions from this chapter

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