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Isaac keeps track of the miles per gallon his car gets per week. He has accumulated the following data:

(1, 24), (2, 24.48), (3, 24.97), (4, 25.47)

What is the common difference or ratio?

The common difference is 0.48.

The common difference is 0.50.

The common ratio is 0.98.

The common ratio is 1.02.

Respuesta :

calculista

we know that

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant

so

Let

[tex]a1=24 \ a2=24.48\ a3=24.97\ a4=25.47[/tex]

[tex]\frac{a2}{a1} = \frac{24.48}{24}= 1.02[/tex]

[tex]a2=a1*1.02[/tex]

[tex]\frac{a3}{a2} = \frac{24.97}{24.48}= 1.02[/tex]

[tex]a3=a2*1.02[/tex]

[tex]\frac{a4}{a3} = \frac{25.47}{24.97}= 1.02[/tex]

[tex]a4=a3*1.02[/tex]

therefore

The common ratio is equal to [tex]1.02[/tex]

the answer is

The common ratio is 1.02

Answer:

The common ratio is 1.02

Step-by-step explanation:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

From data the differences between two consecutive terms are:

24.48 - 24 = 0.48

24.97 - 24.48 = 0.49

25.47 - 24.97 = 0.5

Then, there is no common difference and the sequence is not arithmetic.

From data the ratio between two consecutive terms terms are:

24.48/24 = 1.02

24.97/24.48 = 1.02

25.47/24.97 = 1.02

Then, the common ratio is 1.02 and the sequence is a geometric one.

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