Question

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.
A. 1
B. 2
C. 3
D. 6

Answer 1

Answer:

The correct option is C. The average rate of change for the graphed sequence from n = 1 to n = 3 is 3.

Step-by-step explanation:

From the given graph it is notices that the points on the graph are (1,2) and (3,8).

The formula to find the average rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{8-2}{2}=\frac{6}{2}=3$

Therefore the correct option is C. The average rate of change for the graphed sequence from n = 1 to n = 3 is 3.

Answer 2

Using it's formula, it is found that the average rate of change of the sequence for n = 1 to n = 3 is given by:

C. 3

What is the average rate of change?

• The average rate of change is given by change in the output divided the change in the input.

In this sequence:

• When the input is n = 1, the output is 2.

• When the input is n = 3, the output is 8.

Hence:

$r = \frac{8 - 2}{3 - 1} = 3$

Hence, the average rate of change is of 3, and option C is correct.

You can learn more about the average rate of change at https://brainly.com/question/24313700