Answer:
E.
Step-by-step explanation:
Let's look at the sequence:
The sequence has a common difference. We say it has a common difference because 8-3 has the same value as 13-8.
The common difference is what these differences are equal which is 5.
The sequence is therefore linear or arithmetic (same thing).
So it has form where the slope/common difference is 5.
We need to find the intercept
.
The list of points is related to the above sequence:
I only need one of these points to find .
Let's use the first one since it has smallest numbers and I don't wish to use the calculator unless I really have to.
with
:
Subtract 5 on both sides:
So the equation for the set of points is:
Now they are using instead of x[/tex]:
Since all summations begin at , then the choices are done to either choice C and choice E.
I need to find how many terms are in the given series. The last number is 33. So what term number is associated with the value 33.
Add 2 on both sides:
Divide both sides by 5:
So there are 7 terms and the 7th term is 33.
So the answer is choice E.