1. Essential Question: How do you express a series in sigma notation?

2. Sigma Notation
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3. Sigma Notation
A way to represent a series. 

4. • k2 is called the summand.
• Numbers from 1 to 10 are called the
limits of summation.
• The symbol k is called the index. (note: any letter may be used)
• Read as, “the sum of k2 for values of k from 1 to 10.”
• Expanded form: … + 100

5. Properties of Finite Sums1. 2.

6. Sum of Integers: = Sum of Squares: = Sum of Cubes: =

7. Ex. Express each series using sigma notation and find the sum.
(Use formulas you already know to help write a sigma notation.)
a) … + 100 b)

8. Ex. Express in sigma notation and evaluate.

9. Example
Show that