1. Knight’s Charge  Quiz #1  When you finish your quiz, pick up the “INIFINITE GEO SERIES” worksheet and begin working on it! NOTE: The original segment is 16 cm long!

4. “ Live in the present to learn of the past and be a part of the future.” - Jaleel Mott

5. SEQUENCE:

6. Infinite Geometric Series r =2.... The terms in the sequence are getting larger and larger. Since the terms of the related sequence are getting larger and larger, the sum of the terms has no specific sum (we say the series DIVERGES). Since the terms of the related sequence are getting closer to 0, the sum of the terms is approaching a specific number (we say the series CONVERGES). What does the sum converge to? Infinite Geometric Series

7. Converge or Diverge? Infinite Geometric Series

8. Example: Calculate the sum of the sequence: {2, 4, 8, 16,…}  This is a geometric series with r=2. Since r>1, the series DIVERGES and therefore there is no sum. Infinite Geometric Series

9. Example: Calculate the sum of the sequence: {16, 8, 4, 2, …} Infinite Geometric Series

10. Example: Calculate the sum of the sequence: {16, -8, 4, -2, …} Infinite Geometric Series

11. * Multiply by 1-r * Distribute 1.25 * Solve for r.

12. Example:  A tennis ball dropped from a height of 30 feet bounces 40% of the height from which it fell on each bounce. What is the vertical distance it travels before coming to rest? Infinite Geometric Series

13. Example: Infinite Geometric Series

14. Example: Infinite Geometric Series

15. BINGO Converges812Diverges 4564 405-0.255000 2156.25 -268.827No Sum

16. VICTORY LAP

17. Homework  Pre-precalculus Review sets F-I due TOMORROW  “11-5 Practice” worksheet #1-21 ODD