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Question 1 of 10The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?x y1 72 263 454 645 83A.24B.38C.19D.1

Question

Question 1 of 10The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?x y1 72 263 454 645 83A.24B.38C.19D.1

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Solution

The common difference of an arithmetic sequence is the difference between any two successive terms. In this case, we can find the common difference by subtracting the y-value of a point from the y-value of the next point.

Let's calculate:

For x=2 and x=1: 26 - 7 = 19 For x=3 and x=2: 45 - 26 = 19 For x=4 and x=3: 64 - 45 = 19 For x=5 and x=4: 83 - 64 = 19

So, the common difference of the associated arithmetic sequence is 19. The answer is C.19.

This problem has been solved

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