Graph the six terms of a finite series where a1 = −3 and r = 1.5

Six terms of this series will be (-3), (-4.5), (-6.75), (-10.125), (-15.1875), (-22.78125)

Step-by-step explanation:

We have to find the six terms of a geometric series with first term = -3 and common ratio r = 1.5

The explicit form of a geometric series is represented by

               = (-3)(1.5)

               = -4.5

              = (-3)(1.5)²

              = (-3)(2.25)

              = -6.75

               = (-3)(1.5)³

               = -10.125

               =

               = (-3)(5.0625)

               = -15.1875

               =

               = (-3)(7.59375)

               = -22.78125

Therefore, Six terms of this series will be (-3), (-4.5), (-6.75), (-10.125), (-15.1875), (-22.78125)

  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).

answer: d. $20

step-by-step explanation:

just took the test