ANSWER
![-3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zyhrkp8948grsx3fcue37jow7ztb2ow3yv.png)
Step-by-step 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:
![(y_6-y_2)/(6-2)](https://img.qammunity.org/2023/formulas/mathematics/college/8ny8cizyt5cf9cez6dy9tw7ltfdlommjf8.png)
Therefore, we have:
![\begin{gathered} (2-14)/(6-2) \\ (-12)/(4) \\ \Rightarrow-3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9o5dzd22ef6swny8xqs9xe76pv3v1xhji5.png)
That is the average rate of change.