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

2. 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

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

4. Short cut way to find Sum

5. 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.

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

7. Example  (-1) + 3 + (-9) + 27 + (-81) + 243 + (-729) + 2187

8. Example  2 + 4 + 8 + 16 + 32 + 64 + 128

9. Example  8 + 4 + 2 + 1 + ½ + ¼