Question

Zoe keeps track of the miles per gallon her car gets per week. she has accumulated the following data: (1,24), (2,24,38), (3,24,76) (4,25,14) what is the common difference or ratio?

Answer 1

The common difference is (1,0.38).

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same. In this type of progression, there is a possibility to derive a formula for the nth term of the AP. For example, the sequence 2, 6, 10, 14, … is an arithmetic progression (AP) because it follows a pattern where each number is obtained by adding 4 to the previous term.

x1 = 1 , y1 = 24

x2 = 2, y2 = 24.38

x3 = 3 , y3 = 24.76

x4 = 4 , y4 = 25.14

Thus the common difference equals :-

x2 - x1 = x3 - x2 = x4 - x3 = 1

y2 - y1 = y3 - y2 = y4 - y3 = 0.38.

Thus the common difference is (1,0.38).

Learn more about arithmetic progression (AP) here :

brainly.com/question/1069426

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