1. 5-4: Sigma Notation Objectives: Review sigma notation ©2002 Roy L. Gover (roygover@att.net)

2. Definition Upper Bound Lower Bound Index i th Term Sigma Notation

3. Example Find the sum:

4. Definition Summation Formulas (see pages 342-3 of your text):

5. Example Use a summation formula to find the sum:

6. Try This Use a summation formula to find the sum:

7. Example Use the following summation formula to find the sum of all consecutive integers from 1 to 50:

8. Try This Use the following summation formula to find the sum of the squares of all consecutive integers from 1 to 10:

9. Example Write in summation notation:

10. Example Write in summation notation:

11. Definition This summation is called a Riemann sum. It is used to estimate the area under a curve. More on this later…