Introduction to Summation Problems

You should be able to do each of the following problems using the properties of summation rather than brute force calculating. Click here to check your answers after you finish.

1. Evaluate in terms of the constant d.

2. Evaluate if you know and

3. Evaluate in terms of a. (relates to arithmetic series)

4. Given that: , evaluate .

5. Evaluate . (relates to arithmetic series)

6. Suppose , evaluate .

7. Use the fact that to evaluate