Question

The sequence an = 1(3)n − 1 is graphed below: coordinate plane showing the points 1, 1; 2, 3; and 3, 9 Find the average rate of change between n = 1 and n = 3. (6 points)

Answer 1

Answer:

4

Step-by-step explanation:

$\frac{9 - 1}{3 - 1} = 4$

Answer 2

The average rate of change on the interval [3, 9] will be 4.

How to find the average rate of change?

The average rate of change between two points is given by the slope formula:

 m = average rate of change = (y2 -y1)/(x2 -x1)

The sequence an = 1(3)n − 1 is graphed below:

 m = (9 -1)/(3 -1) = 8/2

 m = 4

The average rate of change on the interval [3, 9] will be 4.

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