Zippythehamster
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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 :

anauayan
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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