Answer:
8th term is 3980.
Step-by-step explanation:
0 12 72 240 598 1250 2322
Differences in successive terms
are:
12 60 168 358 652 1072
48 108 190 294 420
60 82 104 126
22 22 22
So calculating the 8th term , working from the last line to the first:
126 + 22 = 148
148 + 420 = 568
1072 + 568 = 1658
Finally the 8th number = 2322 + 1658 = 3980
Answer:
We do not have the function g(x), but this can be solved in a trivial way.
The average rate of change in a interval is the slope over that interval, so the average rate of change of g(x) in the interval 1 < x < 5 is
p = (g(x2) - g(x1))/(x2 - x1) where x2 > x1
p = (g(5) - g(1))/(5 - 1) = (g(5) - g(1))/4
Now, suppose that i have the new equation h(x) = g(x) + x
the rate of change of this function, the average rate of change in the interval will be:
p' = (h(5) - h(1))/(5 - 1) = (g(5) + 5 - g(1) - 1)/4 = (g(5) - g(1))/4 + 4/4 = p +1
so p' > p
and the average rate of change of h(x) is bigger than the one of g(x) in the interval 1< x < 5
Answer:
The equation of the line is: 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
Then
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
The equation of the line is:
