Rules1. 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.

Question Bench

1 9 17 25

2 10 18 26

3 11 19 27

4 12 20 28

5 13 21

6 14 22

7 15 23

8 16 24

Question #1Touchdown (6)

Evaluate the sum.13

1

17 25i

i

Question #2Touchdown (6)

Evaluate the sum.113

1

325

4

i

i

Question #3Extra point (1)

What is the next number in the following arithmetic sequence:

1, 3, 5, 7, 9, ___

Question #4safety (2)

Find the first four terms:

If a1 = -2

And an = 2an-1 + 9

Question #5field goal (3)

Find the next three terms:

1, -7, 49, -343, …

Question #6extra point (1)

Is this an arithmetic or geometric sequence:

2, 7, 12, 17, 22

Question #7Touchdown (6)

Find the sum of the series to the given term:

80 – 40 + 20 – …; S8

Question #8safety (2)

What is the common difference (d) in this arithmetic sequence:

-5, -9, -13, -17, …

Question #9Field goal (3)

Find the 32nd term of the sequence:

3, 18, 33, 48, …

Question #10safety (2)

Find the common ratio in the following geometric sequence:

1, -3, 9, -27, 81, …

Question #11Touchdown (6)

Find the sum.

1

2

3n

n

Question #12extra point (1)

What is the explicit formula for this sequence 3, 8, 13, 18, 23, …

Question #13field goal (3)

Find the sum of the series to the given term:

1 + 2 + 4 + …; S5

Question #14field goal (3)

A geometric sequence that has a limit of infinity is said to __________.

Question #15Touchdown (6)

Find the sum of the infinite series.

150 + 30 + 6 + …

Question #16Touchdown (6)

Find the limit of the following sequence:

4, 12, 36, 108, 324, 972

Question #17extra point (1)

A geometric sequence that converges has a limit of __________.

Question #18Touch down (6)

For what values of x does this sequence converge?

11

65

nx

Question #19extra point (1)

Is the following an arithmetic or geometric sequence:

-6, -12, -24, -48

Question #20Touchdown (6)

Write the series in sigma notation AND evaluate the sum:

12.5 + 15 + 17.5 + …+ 210

Question #21field goal (3)

Evaluate the series to the given term:

1 – 3 + 9 – 27 + …; S8

Question #22field goal (3)

Evaluate the series to the given term:

-17 – 11 – 5 + 1+ 7 + 13 + …; 25th

Question #23Touchdown (6)

1

1

24

3

i

i

Question #24Touchdown (6)

Find the limit.

Question #25Safety (2)

Find the ninth term:

-5, 15, -45, 135, -405, …

Question #26field goal (3)

Estimate the limit of the sequence.

Question #27field goal (3)

Find the limit

Question #28extra point (1)

State the limit 81, 27, 9, 3, 1, …

Answers and Point Values1. (6) 1222 9. (3) a32=468 17. (1) 0 25. (2) -32805

2. (6) 97.6 10. (2) -3 18. (6) -4 < x < 6 26. (3)

3. (1) 11 11. (6) negative infinity 19. (1) geometric 27. (3) 0

4. (2) -2, 5, 19, 47 12. (1) 5n – 2 20. (6) 28. (1) 0

5. (3) 2401, -16807, 117649

13. (3) 31 21. (3) -1640

6. (1) arithmetic 14. (3) Diverge 22. (3) 1375

7. (6) 53.125 or 425/8 15. (6) 187.5 23. (6) 12

8. (2) -4 16. (6) infinity 24. (6)

80

1

2.5 10 8900n

n

1 7 13 19 25 31

2 8 14 20 26 32

3 9 15 21 27 33

4 10 16 22 28 34

5 11 17 23 29 35

6 12 18 24 30 36