Mar 30, 2015
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