Pre-Calc Jeopardy Review

advertisement
Pre-Calc
Jeopardy Review
Get ready to give me the name of
your group!!
The only things your group
may have out are:
scratch paper
calculators
writing apparatus
JEOPARDY
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
Sums - 100
5
Evaluate
 4n
n1
Answer
Sums - 100
5
 4n  4(1)  4(2)  4(3)  4(4)  4(5)  60
n1
Next Question
Sums - 200
5
Evaluate
 3k
2
k 0
Answer
Sums - 200
5
2
2
2
2
2
2
2
3k

3(0)

3(1)

3(2)

3(3)

3(4)

3(5)

k 0
165

Next Question
Sums - 300
Write the sum using sigma
notation
5
5
5
5


 ...
11 1 2 1 3
115
Answer
Sums - 300
15
5
1 n
n1
Next Question
Sums - 400
Write the sum using
sigma notation
1 1 1
1
1    ...
2 4 8
128
Answer
Sums - 400
 1 
 1 2n 
n 0
7
n
Next Question
Sums - 500
Evaluate


1 n
 2 4 
n1
Answer
Sums - 500
Since
r  4  4 1
there is no sum

Next Question

Formulas - 100
Write an equation for
2,7,12,17,...
Answer
Formulas - 100
an  2  5(n 1)  3  5n
Next Question
Formulas - 200
Write an equation for
27,9,3,1,...

Answer
Formulas - 200
n1
1 
an  27 
3

Next Question
Formulas - 300
Write an expression for
the following sequence:
1 2 4
8
, , , ,...
3 9 27 81
Answer
Formulas - 300
2


n1
an

n
3
Next Question
Formulas - 400
Write an expression
for the following terms
1 1 1 1
1, , , , ,...
3 5 7 9
Answer
Formulas - 400
1
n
an 
2n 1

Next Question
Formulas - 500
Write a recursive expression for
the following sequence;
1,1,2,3,5,8,13,21,..
Answer
Formulas - 500
a1  1
a2  1
an  an1  an2

Next Question
Terms - 100
Write the first 4 terms of
6
an  2 
n
(assume n starts at 1)

Answer
Terms - 100
8,5,4,3.5
Next Question
Terms - 200
1
n
What are the first 4 terms of an 
2n 1
(assume n starts at 0)

Answer
Terms - 200
1 1
1,1, ,
3 5
1,1,0.333,.2

Next Question
Terms - 300
What are the first 4 terms of the
arithmetic sequence where the
first term is 3 and the common
difference is 4.
Answer
Terms - 300
3,7,11,15
Next Question
Terms - 400
a1  35
What are the first 4 terms of a  a  3
k 1
k

Answer
Terms - 400
35, 32, 29, 26
Next Question
Terms - 500
Write the first 4 terms of the
sequence where the first term
1
is 4 and the common ratio is  4

Answer
Terms - 500
1 1
4,1, ,
4 16
Next Question

Arithmetic -100
Find the 100th partial sum of the sequence
5,16,27,38,49,...
Answer
Arithmetic - 100
100
S100 
5 1094  54,950
2
Next Question
Arithmetic - 200
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?
Answer
Arithmetic - 200
20
S  20 39  590
2
Next Question
Arithmetic - 300
A small business sells $10,000 worth of
sports memorabilia during its first year. The
owner of the business has set a goal of
increasing annual sales by $7500 each year
for 19 years. Assuming this goal is met, find
the total sales during the first 20 years of
this business.
Answer
Arithmetic - 300
20
S20  10,000152,500 1,625,000
2
Next Question
Arithmetic - 400
500
Find the partial sum of
n  8
n1

Answer
Arithmetic - 400
500
S500 
9  508 129,250
2
Next Question
Arithmetic - 500
Find the sum of 1, 3, 5, 7, 9, …
Answer
Arithmetic - 500
Can’t find the sum because this sequence
is arithmetic which means it will continue
to increase without leveling off.
Next Question
Geometric - 100
Find the sum of 3 + 0.3 + 0.03 + 0.003 + …
Answer

Geometric - 100
3
S
 3.33
1 (0.1)
Next Question
Geometric - 200

Evaluate
 4.6
n1
n1

Next Question
Geometric - 200
4
S
10
1 0.6

Answer
Geometric - 300
Find the sum of 1, 3, 9, 27, 81, …
Answer
Geometric - 300
You can’t compute the sum of
this sequence because it is a
geometric sequence with a
common ration greater than 1
Next Question
Geometric - 400
Use summation notation to write the
sum 7 + 14 + 28 + …+ 896
Answer
Geometric - 400
7
 72
n1
n1
Next Question
Geometric - 500
Write the first 5 terms of the
geometric sequence when the first
term is 4 and the common ratio is 2
Answer
Geometric - 500
4, 8, 16, 32, 64
Next Question
Misc - 100
Write the sum using summation
notation
21  22  23  ... 29
2
2
2
2

Answer
Misc - 100
9
 2n 
2
n1

Next Question
Misc - 200
Use sigma notation to write
1 1 1
the sum 1    ...
3
9
27

Next Question
Misc - 200
n1
 1 
 3
n1


Next Question
Misc - 300
Find the 100th partial
sum of the arithmetic
sequence where the first
term is 15 and the 100th
term is 307
Answer
Misc - 300
100
S
15 307 16,100
2

Next Question
Misc - 400
When is Miss Miller’s
Birthday?
Answer
Misc - 400
March 26th
Next Question
Misc - 500
Find the partial sum of
100
 7n
n 51
Answer
Misc - 500
50
S  357 700  26,425
2

Next Question
Download