Sequences & Series Jeopardy Pythagora s Gauss Descart es Fibonacc i Fermat

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 Find the sum of the first 20 terms of the series

400 Pythagoras A geometric sequence has u 6 = 24 and u 11 = 768. a)Find u 17. b)Find the sum of the first 15 terms ≈ 24600

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

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

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

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. a)What height does it reach on the 8 th bounce? b) What is the total vertical distance traveled by the ball between the 1 st & 6 th time the ball hits the ground? meters 8.19 meters

100 Descartes Find the sum of the first six terms of the series ….

200 Descartes In an arithmetic series, u 1 = -14 and u 5 = 30 Find the sum of the first 5 terms. 40

300 Descartes Find the general term un of the geometric sequence where u 4 = 24 and u 7 = 192 u n = 3(2) n-1

400 Descartes Find k given that 5, k, and k 2 – 8 are consecutive terms of an arithmetic sequence. k = 3 or k = -1

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

200 Fibonacci The 6 th 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

300 Fibonacci Find the general term un of the geometric sequence where u 3 = 8 and u 6 = -1

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

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

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

300 Fermat Find the general term, u n for an arithmetic sequence given that u 7 = 72 and u 15 = 112. u n = 5n + 37

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

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. u 1 = 5