Question

What is the common difference of the arithmetic sequence graphed below?
A. -2
B. -1/2
C. 1/2
D. 2

Answer 1

The answer that you are looking for is D

Answer 2

ANSWER

The common difference of the arithmetic sequence is
$2$

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
$(2,0.5) \: and \: (3,2.5)$

The slope is given by the formula,

$slope = \frac{y_2-y_1}{x_2-x_1}$



$slo pe = \frac{2.5 - 0.5}{3 - 2}$


$slo pe = \frac{2}{1} = 2$



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

The correct answer is D