Chapter 11: Q21. (page 581)

Find the next four terms of each arithmetic sequence.
6.7, 6.3, 5.9, …

Short Answer

Expert verified

The next four terms of the arithmetic sequence are5.5, 5.1, 4.7, 4.3.

Step by step solution

Step 1. Given Information.

The given arithmetic sequence is 6.7, 6.3, 5.9, …

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 $6.3 - 6.7 = - 0.4$

The difference between the next two terms is $5.9 - 6.3 = - 0.4$

So, the common difference is -0.4.

The next term in the arithmetic sequence is $5.9 - 0.4 = 5.5$

The next term in the arithmetic sequence is $5.5 - 0.4 = 5.1$

The next term in the arithmetic sequence is $5.1 - 0.4 = 4.7$

The next term in the arithmetic sequence is $4.7 - 0.4 = 4.3$

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 5.5, 5.1, 4.7, 4.3.

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Find the next four terms of each arithmetic sequence.
6.7, 6.3, 5.9, …

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the next four terms of each arithmetic sequence.6.7, 6.3, 5.9, …

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Probability and Statistics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the next four terms of each arithmetic sequence.
6.7, 6.3, 5.9, …