1. Example 1 A. Find the series 1, 3, 5, 7, 9, 11 B. Find the series 8, 13, 18, 23, 28, 33, 38

2. Arithmetic Series An Arithmetic Series is the sum of an ___________________ arithmetic sequence Formula for arithmetic series Sn=Sn=

3. Example 2 A. Given 3 +12 + 21 + 30 +…, find S 25. B. Given 16, 12, 8, 4, …, find S 11.

4. Example 3 A. Evaluate.

5. B. Evaluate.

6. Geometric Series A Geometric Series is the sum of a ___________________ Formula for geometric series Sn=Sn= geometric sequence Example 1 Given the series 3 + 4.5 + 6.75 + 10.125 + … find S 10 to the nearest tenth.

7. Example 2 Evaluate.

10. 11.6 Infinite Geometric Series An Infinite Geometic Series is a _____________________ with _______________ terms. Formula for infinite geometric series S = If  r  <1 then the ______ can be found If  r  >1 then the ______ cannot be found geometric sequence infinitely many

11. Example 1 A.Find the sum of the infinite geometric series 3 + 1.2 + 0.48 + 0.192 + … B.Find the sum of the infinite geometric series 8 + 9.6 + 11.52 + 13.824 + … 3 + 1.2 + 0.48 + 0.192 + 0.0768 + 0.03072 + 0.012288 + 0.0049152 4.9967232 How can this be?

12. Example 2 Find the sum of the infinite geometric series