Use summation notation to write the series 6.6 + 15.4 + 24.2 + for 5 terms

For the first five terms of given series  6.6 + 15.4 + 24.2 + ... we can write it as  

Step-by-step explanation:

 Given series  6.6 + 15.4 + 24.2 + ...

We have to write the summation notation to write the series  6.6 + 15.4 + 24.2 + ...   for 5 terms

Consider the given series  6.6 + 15.4 + 24.2 + ...  

We will find a pattern for the  given series

6.6 can be written as (-2.2+8.8(1))

15.4 can be written as (-2.2+8.8(2))

24.2 can be written as (-2.2+8.8(3))

And so on

Thus, for the first five terms, we can write it as  

  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).