Which if the following summation notations represent this series?

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.

r and t.

both are 64 degrees.