ANSWER
[tex]-3[/tex]
EXPLANATION
To find the average rate of change for the graphed sequence, we have to find the ratio of the change in y coordinates to the change in x coordinates for n = 2 to n = 6.
That is:
[tex]\frac{y_6-y_2}{6-2}[/tex]
Therefore, we have:
[tex]\begin{gathered} \frac{2-14}{6-2} \\ \frac{-12}{4} \\ \Rightarrow-3 \end{gathered}[/tex]
That is the average rate of change.
