Answer:
-1215.
Step-by-step explanation:
For a geometric sequence:
nth term = a1 r^(n-1)
The first term a1 = 5 and the common ratio r = -15/5 = -3.
So 6th term = 5 * (-3)^(6-1)
= 5 * (-3)^5
= -1215.
The average rate of change over an interval is the same as the slope between those two values. The formulate for slope is:
You are given the x values: x2=3 and x1=-9. Plug in these x values to g(x) find the y values:
g(3)=3^2+5(3)-2=9+15-2=22
g(-9)=(-9)^2+5(-9)-2=81-45-2=34
Now, you can solve for m:
m=(22-34)/(3--9)
m=-12/12
m=1
Hope this helps!!