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Q20.

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Algebra 2
Found in: Page 581
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Find the next four terms of each arithmetic sequence.

185,165,145,...

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

See the step by step solution

Step by Step Solution

Step 1. Given Information.

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

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.

Step 3. Conclusion.

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

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