Find the common ratio and find the 15th term.
1,3,9,27...
Show all work.

4782969

Step-by-step explanation:

the equation for finding a term (IN A GEOMETRIC series) is a1(r)^(n-1)

a1=first term

r=ratio

n=the number you want

you can see that the sequence increases by the eponent of 3 increasing y 1 each time. So for the first time 3^0=1,3^1=3, 3^2=9 and so on. So we can determine that the ratio is 3.

so now we can plug all that information into the equation

1(3)^(15-1)=the 15th term

4782969=15th term

Hope that helps :)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

26?

step-by-step explanation: