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`

Step-by-step 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 = (y_2-y_1)/(x_2-x_1)`




`slo pe = (2.5 - 0.5)/(3 - 2)`



`slo pe = (2)/(1) = 2`



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

The correct answer is D