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Chapter 11: Q19. (page 581)

Find the next four terms of each arithmetic sequence.

13,1,53,...

Short Answer

Expert verified

The next four terms of the arithmetic sequence are73,3,113,133.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 13,1,53,...

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 1-13=23

The difference between the next two terms is 53-1=23

So, the common difference is 23

The next term in the arithmetic sequence is 53+23=73

The next term in the arithmetic sequence is 73+23=93=3

The next term in the arithmetic sequence is 3+23=113

The next term in the arithmetic sequence is 113+23=133

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 73,3,113,133.

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