Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 1, 8, point 2, 4, point 4, 1, and point 5, .5

Sequence :

Rate of change : -3

Step-by-step explanation:

It is given that the sequence represents by the points (1,8), (2,4), (4,1) and (5,0.5).

We know that the represent the point (n,k). So, we have

It is clear that the above sequence is a geometric sequence because it has common ratio .

First term :

Common ratio :

The nth term of a G.P. is

Therefore, the required sequence is .

We need to find the average rate of change from n = 1 to n = 3.

Therefore, the average rate of change from n = 1 to n = 3 is -3.