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Chapter 11: Q18. (page 581)

Find the next four terms of each arithmetic sequence.

-8, -5, -2, 鈥�

Short Answer

Expert verified

The next four terms of the arithmetic sequence are1, 4, 7, 10.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is -8, -5, -2, 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 -5--8=-5+8=3

The difference between the next two terms is -2--5=-2+5=3

So, the common difference is 3.

The next term in the arithmetic sequence is -2+3=1

The next term in the arithmetic sequence is 1+3=4

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

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

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 1, 4, 7, 10.

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