1. Jeopardy

2. Patterns
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
100
100
100
100
100
200
200
200
200
200
Jeopardy
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
Final Jeopardy

3. 100 Category 1
3, 6, 9, ___, ___,___
Answer

4. Answer 100 Category 1
3, 6, 9, 12, 15, 18

5. 200 Category 1
20, 12, 4 , ___, ___,___
Answer

6. Answer 200 Category 1
20, 12, 4 , -4, -12, -20

7. 300 Category 1
800, 400, 200, , ___, ___,___
Answer

8. Answer 300 Category 1
800, 400, 200, 100, 50,25

9. 400 Category 1
3, 5, 8, 12, ___, ___,___
Answer

10. Answer 400 Category 1
3, 5, 8, 12, 17, 23,30

11. 500 Category 1
1,1,2,3,5,8 , ___, ___,___
Answer

12. Answer 500 Category 1
1,1,2,3,5,8 , 13, 21,34

13. 100 Category 2
Write the rule if a1= 10 d = 3
Answer

14. Write the rule if a1= 10 d = 3 an = 7 + 3n
Answer 100 Category 2
Write the rule if a1= 10 d = 3 an = 7 + 3n

15. 200 Category 2
Write the rule if a3= 15 d = -2
Answer

16. Write the rule if a3= 15 d = -2 an = 21 - 2n
Answer 200 Category 2
Write the rule if a3= 15 d = -2 an = n

17. Write the first 5 terms for an=6+5n
300 Category 2
Write the first 5 terms for an=6+5n
Answer

18. Write the first 5 terms for an=6+5n 11, 16, 21, 26, 31
Answer 300 Category 2
Write the first 5 terms for an=6+5n 11, 16, 21, 26, 31

19. 400 Category 2
Find a20 for 10, 6, 2, -2...
Answer

20. Find a20 for 10, 6, 2, -2… an =14 - 4n so a20 = 14 - 4(20) = -66
Answer 400 Category 2
Find a20 for 10, 6, 2, -2… an =14 - 4n so a20 = (20) = -66

21. 500 Category 2
Find the rule if a3 = 5 and a7 = 9 Remember this is an arithmetic category
Answer

22. Answer 500 Category 2
Find the rule if a3 = 5 and a7 = 9 __,__,5,__,__,__,9 d = (9-5)/(7-3) =1 an = 2 +1n

23. 100 Category 3
Find the S3 for 10, 8, 6...
Answer

24. Answer 100 Category 3
Find the S3 for 10, 8, 6… =24

25. 200 Category 3
Find the S5 for 3,7,11,15...
Answer

26. Find the S5 for 3,7,11,15… 3+7+11+15+19=55 or 5/2(3+19)=55
Answer 200 Category 3
Find the S5 for 3,7,11,15… =55 or 5/2(3+19)=55

27. 300 Category 3
Find the S7 if an = 2 - 3n
Answer

28. Find the S7 if an = 2 - 3n -1+ -4+-7+-10+-13+--16+-19= -70
Answer 300 Category 3
Find the S7 if an = 2 - 3n = -70

29. 400 Category 3 12
S i
i = 1
Answer

30. Answer 400 Category 3 12
S i
i = 1
=510
OR 12/2 (15+70) = 510

31. 500 Category 3 11
S 5 - i2
i = 3
Hint Sn Formula won’t work!
Answer

32. S 5 - i2 11 i = 3 -4+-11+-20+-31+-44+-59+-76+-95 +-116 =-456
Answer 500 Category 3 11
S 5 - i2
i = 3
+-116 =-456

33. 100 Category 4
Write the rule if
r = 6 and a1 =7
and find a10
Answer

34. Write the rule if r = 6 and a1 =7 an = 6(5)n-1
Answer 100 Category 4
Write the rule if
r = 6 and a1 =7
an = 6(5)n-1
a10 = 6(5)10-1= 11,718,750

35. 200 Category 4
Write the rule for
2, 10, 50,
Answer

36. Answer 200 Category 4
Write the rule for
2, 10, 50, 250…
an = 2(5)n-1

37. 300 Category 4
Write the rule for
360,120, 40...
Answer

38. Answer 300 Category 4
Write the rule for
360,120, 40…
an = 360(1/3)n-1

39. Write out the first 5 terms if an = 3(2)n-1
400 Category 4
Write out the first 5 terms if
an = 3(2)n-1
Answer

40. Write out the first 5 terms if an = 3(2)n-1 3, 6, 12, 24, 48
Answer 400 Category 4
Write out the first 5 terms if
an = 3(2)n-1
3, 6, 12, 24, 48

41. Find the 2 geometric means between 3 and 648
500 Category 4
Find the 2 geometric means between 3 and 648
Answer

42. Find the 2 geometric means between 3 and 648
Answer 500 Category 4
Find the 2 geometric means between 3 and 648
3, , ,648
18,108

43. 100 Category 5
Find the S3 for
5, 30, 180
Answer

44. Answer 100 Category 5
Find the S3 for
=215

45. 200 Category 5
Find the S5 for
10, -30, 90, -270
Answer

46. Answer 200 Category 5
Find the S5 for
=610

47. 300 Category 5
Find the S7 for
200,100,50...
Answer

48. Find the S7 for 200+100+50+25+25/2+25/4+25/8=396.875
Answer 300 Category 5
Find the S7 for
/2+25/4+25/8=

49. 400 Category 5 3
S 3(2)(i-1)
i = 1
Answer

50. Answer 400 Category 5 3
S 3(2)(i-1)
i = 1
= 21

51. 500 Category 5
If you play the stock market and you earn $1600 the first day, you lose $800 the next day. On the third day you earn $400. If this pattern continues what will be your total earned (or lost) after 5 days?
Answer

52. Answer 500 Category 5
$ = 1100

53. Find the 3 geometric means between 2 and 1250
Double Jeopardy
Find the 3 geometric means between 2 and 1250
Answer

54. Double Jeopardy Answer
Find the 3 geometric means between 2 and 1250
2, , , ,1250
10,50,250

55. Final Jeopardy
If you play the stock market and you earn $1600 the first day, you earn $800 the next day. On the third day you earn $400. If this pattern continues on what day will you no longer make even a penny?
Answer

56. Answer... 20th Day! sn = 1600(1/2)n-1 sn = 1600(1/2)20-1 =.00305
Final Jeopardy
1600,800,400,200,100,50,25,
25/2, 25/4,25/8, 25/16,…on the 17th day you make .02
19th day .0061
20th day
sn = 1600(1/2)n-1
sn = 1600(1/2)20-1 =.00305
Answer...
20th Day!