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

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Sigma Notation A way to represent a series. 

• 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: 1 + 4 + 9 + 16 + … + 100

Properties of Finite Sums 1. 2.

Sum of Integers: = Sum of Squares: = Sum of Cubes: =

Ex. Express each series using sigma notation and find the sum. (Use formulas you already know to help write a sigma notation.) a) 2 + 9 + 16 +… + 100 b)

Ex. Express in sigma notation and evaluate.

Example Show that