The average rate of change for the sequence given is [tex]-1\frac{1}{2}[/tex].
What is the average rate of change?
The average rate of change formula is used to find the slope of a graphed function. To find the average rate of change, divide the change in y-values by the change in x-values.
The points on the graph are collinear (they lie on one straight line).
Therefore, average of change is the same as a slope.
The formula of a slope:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
We choose two points and put the coordinates to the formula
(1, 4), (3, 1)
[tex]\frac{1-4}{3-1} =\frac{-3}{2} =-1\frac{1}{2}[/tex]
The average rate of change for the sequence given is [tex]-1\frac{1}{2}[/tex].
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