Sequences & Series Jeopardy

Pythagoras Gauss Descar

tesFibonac

ciFerma

t100 100 100 100 100200 200 200 200 200300 300 300 300 300400 400 400 400 400

100 Pythagoras

Find the 15th term in the following sequence:

-3, 3, 9,...81

200 Pythagoras

The 6th 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

89 + 86 + 83 + ...

1210

400 Pythagoras

A geometric sequence has u6 = 24 and u11 = 768.

a) Find u17.

b) Find the sum of the first 15 terms.

49152

24575.25 ≈ 24600

100 Gauss

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

1 1 11, , ,

7 49 343

200 Gauss

Find the 8th term for the sequence

3, -6, 12, ...-384

300 Gauss

Find the formula for the general term un.3, 12, 21, 30, 39, …

un = 9n - 6

400 GaussA 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 8th bounce?

b) What is the total vertical distance traveled by the ball between the 1st & 6th time the ball hits the ground?

0.957 meters

8.19 meters

100 Descartes

Find the sum of the first six terms of the series

2 + 3 + 4.5 + ….

66516

200 DescartesIn an arithmetic series, u1 = -14 and u5 = 30

Find the sum of the first 5 terms.40

300 Descartes

Find the general term un of the geometric sequence where u4 = 24 and u7 = 192

un = 3(2)n-1

400 Descartes

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

100 Fibonacci

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

9720

200 FibonacciThe 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

300 FibonacciFind the general term un of the geometric sequence where u3 = 8 and u6 = -1

11322

n

nu

400 Fibonacci

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

9 or 35

k k

100 Fermat

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

-384

200 Fermat

Write the formula for the general term un: 4, 7, 10, 13, …

un = 3n + 1

300 Fermat

Find the general term, un for an arithmetic sequence given that u7 = 72 and u15 = 112.

un = 5n + 37

400 FermatA 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.

u1 = 5