JeopardyLabs

Evaluate Expressions

100

7!=?

5040

200

(n-1)!/n!

1/n

300

9!/2!*7!

36

400

Find the nth term of,            Cn =(3n)!/5n, find C₃

24,192

500

9!/5!*4!

126

Infinite Sequence/Series

100

8²

64

200

4² * 7²

28² or 784

300

∞

∑ (-1/2)ⁿ

n=0

2/3

400

6(3*8)²/5

3456/5

500

∞ 

∑ (-1)^k (2^k/3^k)

k=0

3/5

Summation Notation

100

5

∑ 4

k=1

20

200

6

∑ 3

n=1

18

300

1

∑ (4n-1)

n=-2

-12

400

45

∑ (2n-5)

n=1

1845

500

10-1

∑ 1/2(1/2)^k

k=0

0.9990234375

Finite Sequence/Series

100

S₁₀₀ =1+2+3+....+98+99+100

5050

200

6

∑ (-1)^k(1/k)

k=3

-7/60

300

5

∑ i

i=1

15

400

4

∑ nⁿ

n=1

288

500

S₇ =5(0.2)³ (1-(0.2)⁷)/1-0.2

0.049999

Vocabulary and Sequences

100

Can write a longer sum in an expression

Summation Notation

200

Find the next four terms               6, 9, 12, 18,

21, 24, 27, 30

300

Has a limited number of terms.

Finite Series

400

What are the first four terms?    a_n=4n+9

13, 17, 21, 25

500

27, -9, 3, -1, 1/3... what is this an example of?

Infinite Sequences