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Jeopardy: Arithmetic, Geometric, and Miscellaneous Questions

Test your mathematical skills with a variety of arithmetic, geometric, and miscellaneous questions in this Jeopardy-style game.

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Jeopardy: Arithmetic, Geometric, and Miscellaneous Questions

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  1. Jeopardy Choose a category. You will be given the question. You must give the correct answer. Click to begin.

  2. Choose a point value. Choose a point value. Click here for Final Jeopardy

  3. Arithmetic Geometric Induction Partial Sum Miscellaneous 10 Point 10 Point 10 Point 10 Point 10 Point 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points

  4. Write the first five terms of the arithmetic sequence A1=15 , d = 3

  5. 15, 18, 21, 24, 27

  6. Write the nth term of the sequences as a function of n. A3=94 a6=85

  7. An=-3n+103

  8. A1=15 ak+1=ak+9 A2=?

  9. a2=24

  10. A pile of bricks has 85 bricks in the bottom row, 70 in the 2nd row, 73 in the 3rd row, and s on until there is only 1 brick in the top row: how many bricks are there in the 12 row?

  11. 19 bricks

  12. Find x if x+2, 3x+4, 2x+7 form an arithmetic sequence

  13. X=17/3

  14. find the nth term of the geometric sequence a1=4 r=1/2 n=10

  15. a10=1/128

  16. Find the nth term of the geometric sequence a1=16 a4=27/4 n=3

  17. a3=9

  18. Find the 8th term: ½, 8, 128…

  19. a8=134,217,728

  20. The value of a car depreciates at about 20% per year. If a car is purchased for $30,000, what will its value be 5 years later?

  21. $9,830.40

  22. –37 is the ________ term of 1, -1, -3, …

  23. 20th term

  24. write the first 5 terms: a0=3; an=7a-1+2

  25. a1=23, a2=163, a3=1,143, a4=8,003

  26. Pk=5/[k(k+1)]

  27. pk+1=5/[(k+1)(k+2)]

  28. pk=[k2(k+3)2]/6

  29. [(k+1)2(k+4)2]/6

  30. pk=1+6+11+…+[5(k-1)-4]+(5k-4) Pk+1=?

  31. Pk+1=1+6+11+…+( 5k-4)+(5k+1)

  32. 1+2+22+23+…+2n-1=2n-1

  33. 1=1

  34. Find the first four terms of the sequence of partial sums of the geometric series. 8, -4, 2, -1, 1/2, …

  35. 8, 4, 6, 5

  36. Find the first four terms of the sequence of partial sums of the geometric series. 5, 15, 45, 135, …

  37. 5, 20, 65, 200

  38. Find the first four terms of the sequence of partial sums of the geometric series. 3, 15, 75, 375, …

  39. 3, 18, 93, 468

  40. Find the first four terms of the sequence of partial sums of the geometric series. ½, 2/3, ¾, 4/5…

  41. ½, 7/6, 23/12, 163/60

  42. Find the first four terms of the sequence of partial sums of the geometric series. 1/5, 2/7, 3/9, 4/11

  43. 1/5, 17/35, 86/105, 1366/ 1155

  44. What type of sequence is this? 7, 21, 63…

  45. geometric

  46. Find r in this sequence. 7, 21, 63…

  47. r=3

  48. The sum of the 1st 4 terms of an arithmetic sequence is 42. If the 4th term is 1/6 of the 1st term, find the 1st term.

  49. X=18

  50. a1= 100, d=-8. Write the first five terms of the sequence.

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