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 given sequence is:

$a(n)= \frac{1}{3} (3)^{n-1}$

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 = $\frac{a(4)-a(3)}{4-3} = \frac{9-3}{1}=6$

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

Answer 2

Answer:

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

Step-by-step explanation: