What is the average rate of change for the sequence shown below? , 2.5), (0,3. (.5, 3.5). (1,4)

The average rate of change for this sequence is 1

Step-by-step explanation:

The average rate of change is calculated as the slope of the line joining the end points of the sequence.

In this case the end points are;

(-.5, 2.5) and (1,4)

We simply calculate the slope using the gradient formula;

Change in y / change in x

(4 - 2.5)/(1 - -0.5) = 1

1

Step-by-step explanation:

We are given the following sequence below and we are to find out the average rate of change for it:

(-.5, 2.5), (0,3, 0.5), (1,4)

We can find the average rate of change for this by taking any two points from this sequence and finding its slope.

Slope =

Therefore, the average rate of change for this sequence is 1.