Question

HELP ME PLEASE

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

an = 8(1/2)n − 1; average rate of change is −3
an = 10(1/2)n − 1; average rate of change is 3
an = 8(1/2)n − 1; average rate of change is 3
an = 10(1/2)n − 1; average rate of change is −3

Answer 1

The sequence is  an = 8(1/2)^(n-1) 

Average rate from n = 1 to n = 3 is  -3

Its choice 1

Answer 2

Answer:

Option A

Step-by-step explanation:

To find nth term we use the given options.

$a_n= 8(\frac{1}{2})^{n-1}$

Lets pick any point from the graph and plug it in the given option

LEts pick (1,8) and (2,4)

$a_n= 8(\frac{1}{2})^{n-1}$, n=1, an=8

$8= 8(\frac{1}{2})^{1-1}$

$8= 8(\frac{1}{2})^{0}$

8=8 True

LEts check with (2,4), n=2 and an=4

$4= 8(\frac{1}{2})^{2-1}$

4=4  True

Average rate of change from n=1 to n=3= $\frac{a_3-a_1}{3-1} =\frac{2-8}{2} =-3$

Average rate of change from n=1 to n=3 is -3