Transcript jeopardy algebra 2 ch 11 and 12

1
Sequences
and Series
Arithmetic
Sequences
and Series
Geometric
Sequences
and Series
Counting
Principles
Probability
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
2
Sequences and Series
100
• Determine if the following sequences are
arithmetic, geometric, or neither.
1. -9, -5, -1, 3, …
2. 0, 5, 15, 30, 50, …
3. -½, 1, -2, 4, …
3
Sequences and Series
200
• Write the first four terms of the
sequence
n2
an 
2n
4
Sequences and Series
300
• Write the first three terms of the
sequence an  3an 1  2
where a1 = -2.
5
Sequences and Series
400
• Find the sum
10
 (2k  3)
k 5
6
Sequences and Series
500
• Write the following sum in sigma
notation.
[(1)2 – 5] + [(2)2 – 5] + [(3)2 – 5] +
… + [(10)2 – 5]
7
Arithmetic Sequences and Series
100
• Find the 20th term of the arithmetic
sequence.
10, 5, 0, -5, -10, ….
8
Arithmetic Sequences and Series
200
• Find the 19th term of the arithmetic
sequence a1 = 5, a4 = 15
9
Arithmetic Sequences and Series
300
• Find the 1st term of the arithmetic
sequence with a5 = 190 and
a10 = 115.
10
Arithmetic Sequences and Series
400
• Find the 1001st term of the
sequence with a1 = -4 and a5 = 16.
11
Arithmetic Sequences and Series
500
• Use the Gauss formula to find the
sum of the first 30 terms of the
sequence -30, -23, -16, -9, …
12
Geometric Sequences and Series
100
• Find the 6th term of the geometric
sequence with a1 = 64 and r = -1/4.
13
Geometric Sequences and Series
200
• Find the 22nd term of the sequence
4, 8, 16, …
14
Geometric Sequences and Series
300
 1 r n 
Sum of first n terms = Sn  a1 

1
r


a1
Sum of infinite # of terms = S =
1 r
• Find the sum of the infinite
geometric sequence 6, 2, 2/3, ….
15
Geometric Sequences and Series
400
 1 r n 
Sum of first n terms = Sn  a1 

1
r


a1
Sum of infinite # of terms = S =
1 r
• Find S10 for the sequence
7, 14, 28, …
16
Geometric Sequences and Series
500
 1 r n 
Sum of first n terms = Sn  a1 

1
r


a1
Sum of infinite # of terms = S =
1 r
• Find S16 for the sequence
200, 50, 12.5, …
17
Counting Principles
100
• In how many ways can a 7 question TrueFalse exam be answered?
• Do you use permutations, combinations, or a
slot-method to solve the problem?
18
Counting Principles
200
• How many distinct license plates can be
issued consisting of one letter followed by a
three-digit number? (Suppose the numbers
CAN repeat)
• Do you use permutations, combinations, or a
slot-method to solve the problem?
19
Counting Principles
300
• The Statistics class needs 10 students to answer
a survey. Mrs. Cox has 15 students in her 4th
period Algebra 2 class. In how many different
ways can she choose the 10 students?
• Do you use permutations, combinations, or a
slot-method to solve the problem?
20
Counting Principles
400
• Compute the following without a calculator.
1. 6!
2. 7P2
3. 5C2
21
Counting Principles
500
• An exacta in horse racing is when you correctly
guess which horses will finish first and
second. If there are eight horses in the race,
how many different possible outcomes for the
exacta are there?
• Do you use permutations, combinations, or a
slot-method to solve the problem?
22
Probability
100
• What are the odds of getting a “tails” when
flipping a fair coin? What is the
probability?
23
Probability
200
• What is the probability you roll a 7 or 11 with a
pair of dice?
24
Probability
300
• What is the probability of getting a 100%
on a 5 question multiple-choice test with
options A, B, C, and D?
25
Probability
400
• There is a raffle at the end of the year in Mrs.
Cox’s class. When a name is drawn, it is placed
back into the box. There are three prizes – an
iPod worth $150, $100 in cash, and an iPad
worth $800. To help offset the price of these
items, she charges $10 for a ticket (the rest of
the money was donated). Each of Mrs. Cox’s
students gets one ticket. She has 65 students.
What is the expected value? Should you
participate in the raffle?
26
Probability
500
• A bag contains 3 red, 4 green, 2 blue, and 1
purple candy. A piece of candy is selected, it is
eaten, and then a second piece is selected.
Draw a tree diagram. What is the probability of
the following events?
1. P(2 red)
2. P(2 purple)
3. P(1 green and 1 blue)
27