Question

The sequence an = one third(3)n − 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average rate of change between n = 3 and n = 4.

Answer 1

the average rate of change i s n = 3 to n = 4 is 6

Explanation:

Answer 2

The given sequence is:


`a(n)= (1)/(3) (3)^(n-1)`

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 =
`(a(4)-a(3))/(4-3) = (9-3)/(1)=6`

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