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Sequences & Series Jeopardy

Sequences & Series Jeopardy. 100 Pythagoras. Find the 15 th term in the following sequence: -3, 3, 9,. 81. 200 Pythagoras. The 6 th term of an arithmetic sequence is 46, and the difference is 3. What is the first term?. 31. 300 Pythagoras.

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Sequences & Series Jeopardy

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  1. Sequences & Series Jeopardy

  2. 100 Pythagoras Find the 15th term in the following sequence: -3, 3, 9,... 81

  3. 200 Pythagoras The 6th term of an arithmetic sequence is 46, and the difference is 3. What is the first term? 31

  4. 300 Pythagoras Find the sum of the first 20 terms of the series 89 + 86 + 83 + ... 1210

  5. 400 Pythagoras A geometric sequence has u6 = 24 and u11 = 768. Find u17. Find the sum of the first 15 terms. 49152 24575.25 ≈ 24600

  6. 100 Gauss Find the next four terms of the sequence 343, 49, 7

  7. 200 Gauss Find the 8th term for the sequence 3, -6, 12, ... -384

  8. 300 Gauss Find the formula for the general term un. 3, 12, 21, 30, 39, … un = 9n - 6

  9. 400 Gauss A basketball is dropped vertically. It reaches a height of 2 meters on the first bounce. The height of each subsequent bounce is 90% of the previous bounce. What height does it reach on the 8th bounce? 0.957 meters b) What is the total vertical distance traveled by the ball between the 1st & 6th time the ball hits the ground? 8.19 meters

  10. 100 Descartes Find the sum of the first six terms of the series 2 + 3 + 4.5 + ….

  11. 200 Descartes In an arithmetic series, u1 = -14 and u5 = 30 Find the sum of the first 5 terms. 40

  12. 300 Descartes Find the general term un of the geometric sequence where u4 = 24 and u7 = 192 un = 3(2)n-1

  13. 400 Descartes Find k given that 5, k, and k2 – 8 are consecutive terms of an arithmetic sequence. k = 3 or k = -1

  14. 100 Fibonacci Find the 2004th term of the arithmetic series: -295, -290, -285, -280, -275, -270, … 9720

  15. 200 Fibonacci The 6th term of an arithmetic sequence is 24. The common difference is 8. (a) Calculate the first term of the sequence. (b) The sum of the first n terms is 600. Calculate the value of n. -16 15

  16. 300 Fibonacci Find the general term un of the geometric sequence where u3 = 8 and u6 = -1

  17. 400 Fibonacci Find k, given that k, k + 9, and 16k are consecutive terms of a geometric sequence.

  18. 100 Fermat Find the 8th term for the geometric sequence 3, -6, 12, ... -384

  19. 200 Fermat Write the formula for the general term un: 4, 7, 10, 13, … un = 3n + 1

  20. 300 Fermat Find the general term, un for an arithmetic sequence given that u7 = 72 and u15 = 112. un = 5n + 37

  21. 400 Fermat A woman deposits $100 into her son’s savings account on his first birthday. On his second birthday she deposits $125, $150 on his third birthday, and so on. (a) How much money would she deposit into her son’s account on his 17th birthday? (b) How much in total would she have deposited after her son’s 17th birthday? $500 $5100

  22. Final Jeopardy The sum of the first 7 terms of an arithmetic series is 329. The common difference is 14. Find the value of the first term. u1 = 5

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