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Chapter 11: Q1. (page 580)

Explain why the sequence 4, 5, 7, 10, 14, 鈥� is not arithmetic.

Short Answer

Expert verified

The difference between consecutive terms is not same.

Step by step solution

01

Step 1. Given Information.

The given sequence is 4, 5, 7, 10, 14, 鈥�

02

Step 2. Explanation.

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鈭�4=1

The difference between the next two terms is 7鈭�5=2

The difference between the next two terms is 10鈭�7=3

The difference between the next two terms is 14鈭�10=4

Here the difference between the consecutive terms is not the same. Hence the sequence is not arithmetic.

03

Step 3. Conclusion.

The difference between consecutive terms is not same.

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Most popular questions from this chapter

Find the 15th term in the arithmetic sequence -3, 4, 11, 18, 鈥�.

What number follows 20 in this arithmetic sequence?

8, 11, 14, 17, 20, 鈥�

A) 5

B) 23

C) 26

D) 29

Find the arithmetic means in each sequence.

3, ?, ?, ?, ?, ? , 27

Find the arithmetic means in each sequence.

55, ? , ? , ? , 115

Find the next four terms of each arithmetic sequence.

12, 16, 20, 鈥�
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