Question 1

Find the mean for the sequence of numbers.
-6, 9, 12, . . . , 129

Accepted Answer

A)  33.75 
B)  67.5 
C)  12 
D)  39 
A)  33.75 
B)  67.5 
C)  12 
D)  39

Question 2

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine
whether the events A and B are mutually exclusive.
-A: One of the numbers is five. B: The sum is greater than 11.

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 3

Find the probability of the event.
-If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Use mathematical induction to prove the statement is true for all positive integers n.
-

Accepted Answer

The answer of Use mathematical induction to prove the statement...

Question 6

Write out the first five terms of the sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

List all equally likely outcomes in the sample space for the indicated experiment.
-The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.

Accepted Answer

A)  {(4, 2)} 
B)  {(club, diamond, heart, spade, head, tail)} 
C)  {(head, spade), (head, club), (head, heart), (head, diamond), (tail, spade), (tail, club), (tail, heart), (tail,diamond)} 
D)  {(spade, head), (club, head), (heart, head), (diamond, head), (spade, tail), (club, tail), (heart, tail), (diamond,tail)} 
A)  {(4, 2)} 
B)  {(club, diamond, heart, spade, head, tail)} 
C)  {(head, spade), (head, club), (head, heart), (head, diamond), (tail, spade), (tail, club), (tail, heart), (tail,diamond)} 
D)  {(spade, head), (club, head), (heart, head), (diamond, head), (spade, tail), (club, tail), (heart, tail), (diamond,tail)}

Question 8

Determine if the given sequence could be an arithmetic sequence.
-2, 8, 32, 128, 512, . . .

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 9

Use the addition rule to solve the problem.
-If P(A) = 0.5, P(B) = 0.5, and   = 0.7, then what is

Accepted Answer

A)  1.4 
B)  0 
C)  0.3 
D)  0.4 
A)  1.4 
B)  0 
C)  0.3 
D)  0.4

Question 10

Find the required part of the geometric sequence.
-Find the common ratio for a geometric sequence with the first term 2 and fifth term 162.

Accepted Answer

A)    
B)  3 
C)  18 
D)    
A)    
B)  3 
C)  18 
D)

Question 11

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Find the required part of the geometric sequence.
-Find a formula for the nth term of a geometric sequence with second term   and fifth term

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Find the first five terms of the infinite sequence whose nth term is given.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

For each given statement Sn, write the statements   and   and verify that they are true.
-

Accepted Answer

The answer of For each given statement Sn, write the...

Question 15

Solve the problem.
-A baseball player with a batting average of 0.200 comes to bat. What are the odds in favor of his getting a hit?

Accepted Answer

A)  1 to 5 
B)  1 to 4 
C)  5 to 1 
D)  4 to 1 
A)  1 to 5 
B)  1 to 4 
C)  5 to 1 
D)  4 to 1

Question 16

Solve the problem.
-A local department store sold carpets in 4 sizes. Each carpet came in 2 qualities. One size carpet came in 7 colors. The other sizes came in 6 colors. How many choices of carpet were there?

Accepted Answer

A)  50 
B)  60 
C)  48 
D)  64 
A)  50 
B)  60 
C)  48 
D)  64

Question 17

Solve the problem.
-After a person stops pedaling a bicycle, the wheel rotates 350 times the first minute. Each subsequent minute, it rotates   as many times as in the previous minute. How many times will the wheel rotate before coming to a
Complete stop?

Accepted Answer

A)  3500 rotations 
B)  437.5 rotations 
C)  3150 rotations 
D)  1750 rotations 
A)  3500 rotations 
B)  437.5 rotations 
C)  3150 rotations 
D)  1750 rotations

Question 18

Find the mean for the sequence of numbers.
-15 , 19 , 15 , 20 , 3 , 11 , 8 , 13

Accepted Answer

A)  28 
B)  12 
C)  14.86 
D)  13 
A)  28 
B)  12 
C)  14.86 
D)  13

Question 19

Solve the problem.
-A pendulum is released and swings until it stops. If it passes through an arc of 25 inches the first pass, and if on each successive pass it travels   the distance of the preceding pass, how far will it travel before stopping?

Accepted Answer

A)  31.25 in. 
B)  37.5 in. 
C)  56.25 in. 
D)  6.25 in. 
A)  31.25 in. 
B)  37.5 in. 
C)  56.25 in. 
D)  6.25 in.

Question 20

Find the first six terms of the sequence.
-

Accepted Answer

A)  -1, -4, 1, -4, -1, -4 
B)  -1, 2, 1, 2, 1, 2 
C)  -1, 4, -1, 4, -1, 4 
D)  -1, 2, -1, 2, -1, 2 
A)  -1, -4, 1, -4, -1, -4 
B)  -1, 2, 1, 2, 1, 2 
C)  -1, 4, -1, 4, -1, 4 
D)  -1, 2, -1, 2, -1, 2

Find the mean for the sequence of numbers. -6, 9, 12, . . . , 129

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive. -A: One of the numbers is five. B: The sum is greater than 11.

Find the probability of the event. -If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Use mathematical induction to prove the statement is true for all positive integers n. -

Write out the first five terms of the sequence. -

List all equally likely outcomes in the sample space for the indicated experiment. -The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.

Determine if the given sequence could be an arithmetic sequence. -2, 8, 32, 128, 512, . . .

Use the addition rule to solve the problem. -If P(A) = 0.5, P(B) = 0.5, and = 0.7, then what is

Find the required part of the geometric sequence. -Find the common ratio for a geometric sequence with the first term 2 and fifth term 162.

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Find the required part of the geometric sequence. -Find a formula for the nth term of a geometric sequence with second term and fifth term

Find the first five terms of the infinite sequence whose nth term is given. -

For each given statement Sn, write the statements and and verify that they are true. -

Solve the problem. -A baseball player with a batting average of 0.200 comes to bat. What are the odds in favor of his getting a hit?

Solve the problem. -A local department store sold carpets in 4 sizes. Each carpet came in 2 qualities. One size carpet came in 7 colors. The other sizes came in 6 colors. How many choices of carpet were there?

Solve the problem. -After a person stops pedaling a bicycle, the wheel rotates 350 times the first minute. Each subsequent minute, it rotates as many times as in the previous minute. How many times will the wheel rotate before coming to a Complete stop?

Find the mean for the sequence of numbers. -15 , 19 , 15 , 20 , 3 , 11 , 8 , 13

Solve the problem. -A pendulum is released and swings until it stops. If it passes through an arc of 25 inches the first pass, and if on each successive pass it travels the distance of the preceding pass, how far will it travel before stopping?

Find the first six terms of the sequence. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

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Matrices and Determinants

The Conic Sections

Basic Algebra Review

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Exam 11: Sequences, Series, and Probability

Find the mean for the sequence of numbers. -6, 9, 12, . . . , 129

Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive. -A: One of the numbers is five. B: The sum is greater than 11.

Find the probability of the event. -If you are dealt two cards successively (without replacement) from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Use mathematical induction to prove the statement is true for all positive integers n. -

Write out the first five terms of the sequence. -

List all equally likely outcomes in the sample space for the indicated experiment. -The queens are separated from a deck of standard playing cards and shuffled. One is randomly selected, and then a coin is tossed.

Determine if the given sequence could be an arithmetic sequence. -2, 8, 32, 128, 512, . . .

Use the addition rule to solve the problem. -If P(A) = 0.5, P(B) = 0.5, and = 0.7, then what is

Find the required part of the geometric sequence. -Find the common ratio for a geometric sequence with the first term 2 and fifth term 162.

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -

Find the required part of the geometric sequence. -Find a formula for the nth term of a geometric sequence with second term and fifth term

Find the first five terms of the infinite sequence whose nth term is given. -

For each given statement Sn, write the statements and and verify that they are true. -

Solve the problem. -A baseball player with a batting average of 0.200 comes to bat. What are the odds in favor of his getting a hit?

Solve the problem. -A local department store sold carpets in 4 sizes. Each carpet came in 2 qualities. One size carpet came in 7 colors. The other sizes came in 6 colors. How many choices of carpet were there?

Solve the problem. -After a person stops pedaling a bicycle, the wheel rotates 350 times the first minute. Each subsequent minute, it rotates as many times as in the previous minute. How many times will the wheel rotate before coming to a Complete stop?

Find the mean for the sequence of numbers. -15 , 19 , 15 , 20 , 3 , 11 , 8 , 13

Solve the problem. -A pendulum is released and swings until it stops. If it passes through an arc of 25 inches the first pass, and if on each successive pass it travels the distance of the preceding pass, how far will it travel before stopping?

Find the first six terms of the sequence. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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