Pre-Calc Jeopardy Review

Get ready to give me the name of your group!!

The only things your group may have out are:

scratch papercalculators

writing apparatus

Sums Formulas Terms Arithmetic Geometric Misc

100 100 100 100 100 100

200 200 200 200 200 200

300 300 300 300 300 300

400 400 400 400 400 400

500 500 500 500 500 500

JEOPARDY

Sums - 100

Answer

€

4nn=1

5

∑Evaluate

Sums - 100

Next Question

€

4n = 4(1) + 4(2) + 4(3) + 4(4) + 4(5) = 60n=1

5

∑

Sums - 200

Answer

€

3k 2

k= 0

5

∑Evaluate

Sums - 200

Next Question

€

3k 2 = 3(0)2 + 3(1)2 + 3(2)2 + 3(3)2 + 3(4)2 + 3(5)2

k= 0

5

∑

€

=165

Sums - 300

€

5

1+1+

5

1+ 2+

5

1+ 3+ ...+

5

1+15

Answer

Write the sum using sigma notation

Sums - 300

€

5

1+ nn=1

15

∑

Next Question

Sums - 400

Answer

€

1−1

2+

1

4−

1

8+ ...−

1

128

Write the sum using sigma notation

Sums - 400

Next Question

€

−1( )n 1

2n ⎛

⎝ ⎜

⎞

⎠ ⎟

n= 0

7

∑

Sums - 500

Answer€

1

24( )

n

n=1

∞

∑Evaluate

Sums - 500

Next Question

€

r = 4 = 4 >1Since there is no sum

Formulas - 100

€

−2,−7,−12,−17,...

Answer

Write an equation for

Formulas - 100

Next Question€

an = −2 − 5(n −1) = 3 − 5n

Formulas - 200

Answer€

27,9,3,1,...

Write an equation for

Formulas - 200

€

an = 271

3

⎛

⎝ ⎜

⎞

⎠ ⎟n−1

Next Question

Formulas - 300

€

1

3,−

2

9,

4

27,−

8

81,...

Answer

Write an expression for the following sequence:

Formulas - 300

€

an =−2( )

n−1

3n

Next Question

Formulas - 400

€

−1,1

3,−

1

5,1

7,−

1

9,...

Answer

Write an expression for the following terms

Formulas - 400

Next Question

€

an =−1( )

n

2n −1

Formulas - 500

€

1,1,2,3,5,8,13,21,..

Answer

Write a recursive expression for

the following sequence;

Formulas - 500

Next Question€

a1 =1

a2 =1

an = an−1 + an−2

Terms - 100

Answer

Write the first 4 terms of

(assume n starts at 1)

€

an = 2 +6

n

Terms - 100

Next Question

€

8,5,4,3.5

Terms - 200

Answer

What are the first 4 terms of

(assume n starts at 0)

€

an =−1( )

n

2n −1

Terms - 200

Next Question€

−1,−1,1

3,−

1

5−1,−1,0.333,−.2

Terms - 300

Answer

What are the first 4 terms of the arithmetic sequence where the first term is 3 and the common difference is 4.

Terms - 300

Next Question

€

3,7,11,15

Terms - 400

Answer

What are the first 4 terms of

€

a1 = 35

ak+1 = ak − 3

Terms - 400

Next Question

35, 32, 29, 26

Terms - 500

Answer

Write the first 4 terms of the sequence where the first term

is 4 and the common ratio is

€

−1

4

Terms - 500

Next Question

€

4,−1,1

4,−

1

16

Arithmetic -100

Answer€

5,16,27,38,49,...

Find the 100th partial sum of the sequence

Arithmetic - 100

Next Question€

S100 =100

25 +1094( ) = 54,950

Arithmetic - 200

Answer

An auditorium has 20 rows of seats. There are 20 seats in the first row, 21 sets in the second row, 22 seats in the third row and so on. How many sets are there in all 20 rows?

Arithmetic - 200

€

S =20

220 + 39( ) = 590

Next Question

Arithmetic - 300

Answer

A small business sells $10,000 worth ofsports memorabilia during its first year. Theowner of the business has set a goal ofincreasing annual sales by $7500 each yearfor 19 years. Assuming this goal is met, findthe total sales during the first 20 years of this business.

Arithmetic - 300

Next Question€

S20 =20

210,000 +152,500( ) =1,625,000

Arithmetic - 400

Answer€

n + 8n=1

500

∑Find the partial sum of

Arithmetic - 400

Next Question€

S500 =500

29 + 508( ) =129,250

Arithmetic - 500

Answer

Find the sum of 1, 3, 5, 7, 9, …

Arithmetic - 500

Next Question

Can’t find the sum because this sequence is arithmetic which means it will continue to increase without leveling off.

Geometric - 100

Answer

Find the sum of 3 + 0.3 + 0.03 + 0.003 + …

Geometric - 100

Next Question€

S =3

1− (0.1)= 3.33

Geometric - 200

Next Question

Evaluate

€

4 .6( )n−1

n=1

∞

∑

Geometric - 200

€

S =4

1− 0.6=10

Answer

Geometric - 300

Answer

Find the sum of 1, 3, 9, 27, 81, …

Geometric - 300

Next Question

You can’t compute the sum of this sequence because it is a geometric sequence with a common ration greater than 1

Geometric - 400

Answer

Use summation notation to write the sum 7 + 14 + 28 + …+ 896

Geometric - 400

Next Question

€

7 2( )n−1

n=1

7

∑

Geometric - 500

Answer

Write the first 5 terms of the geometric sequence when the first term is 4 and the common ratio is 2

Geometric - 500

Next Question

4, 8, 16, 32, 64

Misc - 100

Answer

Write the sum using summation notation

€

2 12( ) + 2 22

( ) + 2 32( ) + ...+ 2 92

( )

Misc - 100

Next Question€

2 n2( )

n=1

9

∑

Misc - 200

Next Question

Use sigma notation to write the sum

€

1−1

3+

1

9−

1

27+ ...

Misc - 200

Next Question

€

−1

3

⎛

⎝ ⎜

⎞

⎠ ⎟n−1

n=1

∞

∑

Misc - 300

Answer

Find the 100th partial sum of the arithmetic sequence where the first term is 15 and the 100th term is 307

Misc - 300

Next Question

€

S =100

215 + 307( ) =16,100

Misc - 400

Answer

When is Miss Miller’s Birthday?

Misc - 400

Next Question

March 26th

Misc - 500

Answer

Find the partial sum of

€

7nn= 51

100

∑

Misc - 500

Next Question

€

S =50

2357 + 700( ) = 26,425