Question

What is the average rate of change for the sequence shown below?​

Answer 1

Answer:

-1/2

Step-by-step explanation:

If you connected the dots here you would have a straight line.  The average rate of change for a straight line is also known as the slope.  Slope, by definition, is rise over run (although rise doesn't necessarily mean "up"; it could also mean down, as it does here).  From one point to the next in our graph, we go down 1 unit (-1) and to the right 2 units (+2).  Therefore, the slope of the line is -1/2.