Lesson 4-6: Geometric Series Advanced Math Topics Mrs. Mongold

Geometric Series  When the terms of a series form a geometric sequence  Remember geometric sequences have a pattern of multiplying each term by the same number to get the next term in the sequence

Example of Geometric Series  NCAA tournament…  64 teams to start  Sequence looks like this 32, 16, 8, 4, 2, 1 Series looks like this

Short cut way to find Sum

Example  Going back seven generations, how many ancestors do you have? Count your parents as the first generation, your four grandparents as the second and so on.

Sigma Notation  Works the same way as an arithmetic series but will be in the explicit form for geometric series which is

Example  (-1) (-9) (-81) (-729)

Example 

Example  ½ + ¼