Given the following points:
(1, 4): (2, 2.5): (3, 1) and (4, -0.5).
We are asked to find the average rate of change of the sequence.
The average rate of change for the sequence is the slope and it can be solved using the slope formula.
Slope (m) = y2 - y1
x2 - x1
So, lets choose two points on the line and substitute into the formular.
(1, 4) and (2, 2.5)
where:
x1 = 1
x2 = 2
y1 = 4
y2 = 2.5
m = 2.5 - 4
2 - 1
m = -1.5/1
m = -1.5
m = -1 1/2
Therefore, the correct option is the second option.
