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The answer that you are looking for is D
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ANSWER

The common difference of the arithmetic sequence is
[tex]2[/tex]

EXPLANATION

The common difference of the arithmetic sequence from the graph is the slope that can be found using any two points.



Let us use the points
[tex](2,0.5) \: and \: (3,2.5)[/tex]

The slope is given by the formula,

[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]



[tex]slo pe = \frac{2.5 - 0.5}{3 - 2} [/tex]


[tex]slo pe = \frac{2}{1} = 2[/tex]



Since the slope is 2, the constant difference of the arithmetic sequence is also 2.

The correct answer is D

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