Question 1

Find a formula for   for the arithmetic sequence below.

Accepted Answer

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

Question 2

There are 13 patients in Dr.Ziglar's waiting room.Dr.Ziglar can see 6 patients before lunch.In how many different orders can Dr.Ziglar see 6 of the patients before lunch?

Accepted Answer

A)  1716 
B)  8,648,640 
C)  78 
D)  6 
E)  1,235,520 
A)  1716 
B)  8,648,640 
C)  78 
D)  6 
E)  1,235,520

Question 3

Logs are stacked so that there are 21 logs in the bottom row, 20 logs in the second row from the bottom, and so on, decreasing by 1 log each row.How many logs are there in the first four rows from the bottom?

Accepted Answer

A)  140 logs 
B)  60 logs 
C)  78 logs 
D)  153 logs 
E)  165 logs 
A)  140 logs 
B)  60 logs 
C)  78 logs 
D)  153 logs 
E)  165 logs

Question 4

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

Accepted Answer

A)  -1 
B)  2 
C)    
D)  1 
E)  not arithmetic 
A)  -1 
B)  2 
C)    
D)  1 
E)  not arithmetic

Question 5

At a high school cafeteria, diners can choose one vegetable from a choice of 4 vegetables, one meat from a choice of 3 meats, one serving of bread from among 4 breads, and a dessert from among 3 desserts.How many meal configurations are possible?

Accepted Answer

A)  14 
B)  144 
C)  4 
D)  48 
E)  36 
A)  14 
B)  144 
C)  4 
D)  48 
E)  36

Question 6

A biology instructor gives her class a list of eight study problems, from which she will select four to be answered on an exam.A student knows how to solve five of the problems.Find the probability that the student will be able to answer all five questions on the exam.

Accepted Answer

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

Question 7

Find the indicated nth partial sum of the arithmetic sequence. 2.5, 3.8, 5.1, 6.4, ..., n = 100

Accepted Answer

A)  12,505 
B)  6815 
C)  6685 
D)  6683.8 
E)  6686.2 
A)  12,505 
B)  6815 
C)  6685 
D)  6683.8 
E)  6686.2

Question 8

Determine whether the sequence is geometric.If so, find the common ratio. -5, -15, -45, -135, ...

Accepted Answer

A)  3 
B)  -5 
C)    
D)  -3 
E)  not geometric 
A)  3 
B)  -5 
C)    
D)  -3 
E)  not geometric

Question 9

You are given the probability that an event will happen.Find the probability that the event will not happen. P(E) = 0.79

Accepted Answer

A)  0.79 
B)  0.21 
C)  0.105 
D)  0 
E)  1 
A)  0.79 
B)  0.21 
C)  0.105 
D)  0 
E)  1

Question 10

A computer manufacturer offers a computer system with five different disk drives, two different monitors, and three different keyboards.How many different computer systems could a consumer purchase from this manufacturer?

Accepted Answer

A)  24 
B)  40 
C)  30 
D)  18 
E)  75 
A)  24 
B)  40 
C)  30 
D)  18 
E)  75

Question 11

Use the Binomial Theorem to expand and simplify the expression.

Accepted Answer

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

Question 12

Use the Binomial Theorem to simplify the power of the complex number.

Accepted Answer

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

Question 13

Eight cards are chosen at random from a standard deck of playing cards.In how many ways can the cards be chosen if all eight cards are diamonds.

Accepted Answer

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

Question 14

A sales representative makes a sale at approximately one-third of the businesses he calls on.On a given day, he goes to four businesses.What is the probability that he will make a sale at all four businesses?

Accepted Answer

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

Question 15

Find the sum.

Accepted Answer

A)  16 
B)  32 
C)  27 
D)  11 
E)  12 
A)  16 
B)  32 
C)  27 
D)  11 
E)  12

Question 16

Evaluate using Pascal's triangle.Show your work.

Accepted Answer

The answer of Evaluate using Pascal's triangle.Show your work. ...

Question 17

Suppose that the annual payroll   (in billions of dollars) of new car dealerships in the United States from 2000 to 2005 can be approximated by the model     where   represents the year, with   corresponding to 2000.Find the total payroll from 2000 to 2005 by evaluating the sum   Round your answer to the nearest ten million dollars.

Accepted Answer

A)  $343.70 billion 
B)  $292.10 billion 
C)  $246.50 billion 
D)  $298.10 billion 
E)  $387.60 billion 
A)  $343.70 billion 
B)  $292.10 billion 
C)  $246.50 billion 
D)  $298.10 billion 
E)  $387.60 billion

Question 18

Simplify the factorial expression.

Accepted Answer

A)  11,880 
B)  1320 
C)    
D)  132 
E)  17,160 
A)  11,880 
B)  1320 
C)    
D)  132 
E)  17,160

Question 19

Write the first five terms of the arithmetic sequence.

Accepted Answer

A)  3, 10, 17, 24, 31 
B)  -4, -11, -18, -25, -32 
C)  3, -4, -11, -18, -25 
D)  3, -21, 147, -1029, 7203 
E)  3, -4, -1, 2, 5 
A)  3, 10, 17, 24, 31 
B)  -4, -11, -18, -25, -32 
C)  3, -4, -11, -18, -25 
D)  3, -21, 147, -1029, 7203 
E)  3, -4, -1, 2, 5

Question 20

Decide which of the scenarios below should be counted using permutations or combinations. Scenario I:
Number of ways 7 people can line up in a row for concert tickets.
Scenario II:
Number of ways a team of 8 students can be selected from a group of 50 people.
Scenario III:
Number of ways a jury of 11 people can be selected from a group of 40 people.

Accepted Answer

A)  Scenarios II and III are combinations and scenario I is a permutation. 
B)  All scenarios are permutations. 
C)  All scenarios are combinations. 
D)  Scenario III is a combination and scenarios I and II are permutations. 
E)  Scenarios I and II are combinations and scenario III is a permutation. 
A)  Scenarios II and III are combinations and scenario I is a permutation. 
B)  All scenarios are permutations. 
C)  All scenarios are combinations. 
D)  Scenario III is a combination and scenarios I and II are permutations. 
E)  Scenarios I and II are combinations and scenario III is a permutation.

Find a formula for for the arithmetic sequence below.

There are 13 patients in Dr.Ziglar's waiting room.Dr.Ziglar can see 6 patients before lunch.In how many different orders can Dr.Ziglar see 6 of the patients before lunch?

Logs are stacked so that there are 21 logs in the bottom row, 20 logs in the second row from the bottom, and so on, decreasing by 1 log each row.How many logs are there in the first four rows from the bottom?

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

At a high school cafeteria, diners can choose one vegetable from a choice of 4 vegetables, one meat from a choice of 3 meats, one serving of bread from among 4 breads, and a dessert from among 3 desserts.How many meal configurations are possible?

A biology instructor gives her class a list of eight study problems, from which she will select four to be answered on an exam.A student knows how to solve five of the problems.Find the probability that the student will be able to answer all five questions on the exam.

Find the indicated nth partial sum of the arithmetic sequence. 2.5, 3.8, 5.1, 6.4, ..., n = 100

Determine whether the sequence is geometric.If so, find the common ratio. -5, -15, -45, -135, ...

You are given the probability that an event will happen.Find the probability that the event will not happen. P(E) = 0.79

A computer manufacturer offers a computer system with five different disk drives, two different monitors, and three different keyboards.How many different computer systems could a consumer purchase from this manufacturer?

Use the Binomial Theorem to expand and simplify the expression.

Use the Binomial Theorem to simplify the power of the complex number.

Eight cards are chosen at random from a standard deck of playing cards.In how many ways can the cards be chosen if all eight cards are diamonds.

A sales representative makes a sale at approximately one-third of the businesses he calls on.On a given day, he goes to four businesses.What is the probability that he will make a sale at all four businesses?

Find the sum.

Evaluate using Pascal's triangle.Show your work.

Simplify the factorial expression.

Write the first five terms of the arithmetic sequence.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

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Exam 7: Sequences, Series, and Probability

Find a formula for for the arithmetic sequence below.

There are 13 patients in Dr.Ziglar's waiting room.Dr.Ziglar can see 6 patients before lunch.In how many different orders can Dr.Ziglar see 6 of the patients before lunch?

Logs are stacked so that there are 21 logs in the bottom row, 20 logs in the second row from the bottom, and so on, decreasing by 1 log each row.How many logs are there in the first four rows from the bottom?

Determine whether the sequence is arithmetic.If so, find the common difference.(Assume that n begins with 1.)

At a high school cafeteria, diners can choose one vegetable from a choice of 4 vegetables, one meat from a choice of 3 meats, one serving of bread from among 4 breads, and a dessert from among 3 desserts.How many meal configurations are possible?

A biology instructor gives her class a list of eight study problems, from which she will select four to be answered on an exam.A student knows how to solve five of the problems.Find the probability that the student will be able to answer all five questions on the exam.

Find the indicated nth partial sum of the arithmetic sequence. 2.5, 3.8, 5.1, 6.4, ..., n = 100

Determine whether the sequence is geometric.If so, find the common ratio. -5, -15, -45, -135, ...

You are given the probability that an event will happen.Find the probability that the event will not happen. P(E) = 0.79

A computer manufacturer offers a computer system with five different disk drives, two different monitors, and three different keyboards.How many different computer systems could a consumer purchase from this manufacturer?

Use the Binomial Theorem to expand and simplify the expression.

Use the Binomial Theorem to simplify the power of the complex number.

Eight cards are chosen at random from a standard deck of playing cards.In how many ways can the cards be chosen if all eight cards are diamonds.

A sales representative makes a sale at approximately one-third of the businesses he calls on.On a given day, he goes to four businesses.What is the probability that he will make a sale at all four businesses?

Find the sum.

Evaluate using Pascal's triangle.Show your work.

Simplify the factorial expression.

Write the first five terms of the arithmetic sequence.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Filters