3. Rules 1.Group #1 picks a question off of the question bench. While they are working on their question, each group should do the problem. 2.If Group #1 gets the problem right, they get the points. If they get it wrong, I will pick a group at random and they get three seconds to answer. If the selected group gets it right they get the points. If they get it wrong, then I will pick another group until someone! gets it right. 3.Winning team is team with most points at then end. Yes, you get bonus points.

4. Question Bench 191725 2101826 3111927 4122028 51321 61422 71523 81624

5. Question #1 Touchdown (6) Evaluate the sum.

6. Question #2 Touchdown (6) Evaluate the sum.

7. Question #3 Extra point (1) What is the next number in the following arithmetic sequence: 1, 3, 5, 7, 9, ___

8. Question #4 safety (2) Find the first four terms: If a 1 = -2 And a n = 2a n-1 + 9

9. Question #5 field goal (3) Find the next three terms: 1, -7, 49, -343, …

10. Question #6 extra point (1) Is this an arithmetic or geometric sequence: 2, 7, 12, 17, 22

11. Question #7 Touchdown (6) Find the sum of the series to the given term: 80 – 40 + 20 – …; S 8

12. Question #8 safety (2) What is the common difference (d) in this arithmetic sequence: -5, -9, -13, -17, …

13. Question #9 Field goal (3) Find the 32 nd term of the sequence: 3, 18, 33, 48, …

14. Question #10 safety (2) Find the common ratio in the following geometric sequence: 1, -3, 9, -27, 81, …

15. Question #11 Touchdown (6) Find the sum.

16. Question #12 extra point (1) What is the explicit formula for this sequence 3, 8, 13, 18, 23, …

17. Question #13 field goal (3) Find the sum of the series to the given term: 1 + 2 + 4 + …; S 5

18. Question #14 field goal (3) A geometric sequence that has a limit of infinity is said to __________.

19. Question #15 Touchdown (6) Find the sum of the infinite series. 150 + 30 + 6 + …

20. Question #16 Touchdown (6) Find the limit of the following sequence: 4, 12, 36, 108, 324, 972

21. Question #17 extra point (1) A geometric sequence that converges has a limit of __________.

22. Question #18 Touch down (6) For what values of x does this sequence converge?

23. Question #19 extra point (1) Is the following an arithmetic or geometric sequence: -6, -12, -24, -48

24. Question #20 Touchdown (6) Write the series in sigma notation AND evaluate the sum: 12.5 + 15 + 17.5 + …+ 210

25. Question #21 field goal (3) Evaluate the series to the given term: 1 – 3 + 9 – 27 + …; S 8

26. Question #22 field goal (3) Evaluate the series to the given term: -17 – 11 – 5 + 1+ 7 + 13 + …; 25 th

27. Question #23 Touchdown (6)

28. Question #24 Touchdown (6) Find the limit.

29. Question #25 Safety (2) Find the ninth term: -5, 15, -45, 135, -405, …

30. Question #26 field goal (3) Estimate the limit of the sequence.

31. Question #27 field goal (3) Find the limit

32. Question #28 extra point (1) State the limit 81, 27, 9, 3, 1, …

33. Answers and Point Values 1. (6) 12229. (3) a 32 =46817. (1) 025. (2) -32805 2. (6) 97.610. (2) -318. (6) -4 < x < 626. (3) 3. (1) 1111. (6) negative infinity19. (1) geometric27. (3) 0 4. (2) -2, 5, 19, 4712. (1) 5n – 220. (6)28. (1) 0 5. (3) 2401, -16807, 11764913. (3) 3121. (3) -1640 6. (1) arithmetic14. (3) Diverge22. (3) 1375 7. (6) 53.125 or 425/815. (6) 187.523. (6) 12 8. (2) -416. (6) infinity24. (6)

34. 1713192531 2814202632 3915212733 41016222834 51117232935 61218243036