Identify the sequence graphed below and the average rate of change from n = 0 to n = 2.

coordinate plane showing the point 1, 10, point 2, 5, and point 4, 1.25

The sequence is:

and the average rate of change from n=0 to n=2 is:

                           -7.5

We are given the points as:

(1,10), (2,5) and (4,1.25)

Clearly after looking the point we see that these point follow a geometric sequence.

Since with the increase in x-value by 1 unit there is a decrease in the y-value by a factor of 1/2

Let the points be denoted by:

Hence, we have the sequence as:

Since, when x=n=1 we have:

Similarly we can check the other points as well

When x=n=0

we have:

Now, the average rate of change from n=0 to n=2 is calculated as:

Hence, Rate= -7.5

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

step-by-step explanation:

mean or average is 40.6