Answer:
Option C is correct
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Formula for slope is given by:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
As per the statement:
Given the sequence as shown
(5, 1), (3, 2), (3, 1), (-1, 4) ,....
We have to find average rate of change or slope for the sequence.
Consider any two points from the sequence,
(5, 1), (3, 2)
here, [tex]x_1 = 5[/tex], [tex]y_1 = 1[/tex], [tex]x_2 = 3[/tex] and [tex]y_2= 2[/tex]
Apply the formula for slope we have;
[tex]\text{Slope} = \frac{2-1}{3-5} = -\frac{1}{2}[/tex]
Therefore, the average rate of change for the sequence is, [tex] -\frac{1}{2}[/tex]
