Question

Calculate the average rate of change for the graphed sequence from n = 2 to n = 4. graphed sequence showing point 1, negative 3, point 2, negative 3.5, point 3, negative 6.75, point 4, negative 10.125, point 5, negative 15.1875, and point 6, negative 22.78125

Answer 1

B or −3.3125

Explanation:

flex point 2023

Answer 2

I believe the given sequence is in the tabular form of:

n value

1 - 3

2 - 3.5

3 - 6.75

4 - 10.125

5 - 15.1875

6 - 22.78125

Now to find for the average rate of change from n1 = 2 to n2 = 4, we simply have to use the formula:

average rate of change = (value2 – value1) / (n2 – n1)

Substituting:

average rate of change = (- 10.125 – (-3.5)) / (4 – 2)

average rate of change = (- 6.625) / (2)

average rate of change = -3.3125

Therefore the average rate of change from n=2 to n=4 is -3.3125.