The sequence an = - (3) " - 1 is graphed below:

NA OVO

(3, 3)

(2, 1)

2

3

4

5

6

7

8

9

10

Find the average rate of change between n = 3 and n = 4.

The given sequence is:

a (2) = 1

a (3) = 3

a (4) = 9

We are to find the average rate of change between n=3 and n=4 for the given function.

Average rate of change =

So the average rate of change for the given function from n = 3 to n = 4 is 6