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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 next four terms of each arithmetic sequence.

6.7, 6.3, 5.9, 鈥�

Find Sn for each arithmetic series described.

a1=4,an=100,n=25

To prove that objects of different weights fall at the same rate, Galileo dropped two objects with different weights from the Leaning Tower of Pisa in Italy. The objects hit the ground at the same time. When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.How many feet would an object fall in the tenth second?

Find the sum of each arithmetic series.

鈭�k=37(3k+4)

Find Snfor each arithmetic series described.

a1=40,n=20,d=鈭�3
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