Question 1

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  205,920 
B)  6 
C)  1,235,520 
D)  1716 
A)  205,920 
B)  6 
C)  1,235,520 
D)  1716

Question 2

Write a recursion formula for the sequence.
--8, -1, 6, 13, . . .

Accepted Answer

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

Question 3

Solve the problem.
-A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?

Accepted Answer

A)  $11,400 
B)  $8400 
C)  None of these 
D)  $12,000 
A)  $11,400 
B)  $8400 
C)  None of these 
D)  $12,000

Question 4

Find the common ratio for the geometric sequence.
-2, 6, 18, 54, 162

Accepted Answer

A)  Not geometric 
B)  3 
C)    
D)  6 
A)  Not geometric 
B)  3 
C)    
D)  6

Question 5

Find the requested sum of the arithmetic sequence.
-

Accepted Answer

A)  6141 
B)  6143 
C)  18,865,153 
D)  18,859,011 
A)  6141 
B)  6143 
C)  18,865,153 
D)  18,859,011

Question 6

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

Accepted Answer

A)  0, -2, -4, -6, -8 
B)  0, 1, 2, 3, 4 
C)  0, 2, 4, 6, 8 
D)  4, 6, 8, 10, 12 
A)  0, -2, -4, -6, -8 
B)  0, 1, 2, 3, 4 
C)  0, 2, 4, 6, 8 
D)  4, 6, 8, 10, 12

Question 7

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

Accepted Answer

A)  -8, -6, -4, -2, 0 
B)  -3, -2, -1, 0, 1 
C)  -2, -1, 0, 1, 2 
D)  -1, 0, 1, 2, 3 
A)  -8, -6, -4, -2, 0 
B)  -3, -2, -1, 0, 1 
C)  -2, -1, 0, 1, 2 
D)  -1, 0, 1, 2, 3

Question 8

Solve the problem.
-A rose garden has 16 bushes in one row, 13 bushes in the next row, then 10, and so on. If there are 51 bushes in the garden, in how many rows are they planted?

Accepted Answer

A)  5 rows 
B)  6 rows 
C)  3 rows 
D)  7 rows 
A)  5 rows 
B)  6 rows 
C)  3 rows 
D)  7 rows

Question 9

Find the mean for the sequence of numbers.
-11, 7, 5, 14, 9, 3, 17

Accepted Answer

A)    
B)    
C)    
D)  10 
A)    
B)    
C)    
D)  10

Question 10

List all equally likely outcomes in the sample space for the indicated experiment.
-A coin is tossed, and then a die is rolled.

Accepted Answer

A)  {(h, 1), (h, 2), (h, 3), (h, 4), (h, 5), (h, 6), (t, 1), (t, 2), (t, 3), (t, 4), (t, 5), (t, 6)} 
B)  {(1, h), (2, h), (3, h), (4, h), (5, h), (6, h), (1, t), (2, t), (3, t), (4, t), (5, t), (6, t)} 
C)  {(2, 6)} 
D)  {(h, t, 1, 2, 3, 4, 5, 6)} 
A)  {(h, 1), (h, 2), (h, 3), (h, 4), (h, 5), (h, 6), (t, 1), (t, 2), (t, 3), (t, 4), (t, 5), (t, 6)} 
B)  {(1, h), (2, h), (3, h), (4, h), (5, h), (6, h), (1, t), (2, t), (3, t), (4, t), (5, t), (6, t)} 
C)  {(2, 6)} 
D)  {(h, t, 1, 2, 3, 4, 5, 6)}

Question 11

Evaluate the expression.
-C(4, 0)

Accepted Answer

A)  1 
B)  24 
C)  0 
D)  4 
A)  1 
B)  24 
C)  0 
D)  4

Question 12

Write a recursion formula for the sequence.
-

Accepted Answer

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

Question 13

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula.
--3, 3, 9, 15, 21, . . .

Accepted Answer

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

Question 14

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: The sum is ten. B: The numbers are the same.

Accepted Answer

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

Question 15

Find the sum of the series.
-

Accepted Answer

A)  7 
B)  4 
C)  16 
D)  14 
A)  7 
B)  4 
C)  16 
D)  14

Question 16

Use the addition rule to solve the problem.
-If P(A) = 0.3, P(B) = 0.6, and   = 0.2, then what is

Accepted Answer

A)  0.7 
B)  0.5 
C)  0.9 
D)  1.1 
A)  0.7 
B)  0.5 
C)  0.9 
D)  1.1

Question 17

Identify the sequence as arithmetic, geometric, or neither.
-

Accepted Answer

A)  Geometric 
B)  Neither 
C)  Arithmetic 
A)  Geometric 
B)  Neither 
C)  Arithmetic

Question 18

Provide an appropriate response.
-Consider determining how many possible phone numbers there are in an area code (repeated digits allowed). Is this an exercise in combinations, permutations, or neither?

Accepted Answer

A)  Combinations 
B)  Permutations 
C)  Neither 
A)  Combinations 
B)  Permutations 
C)  Neither

Question 19

Provide an appropriate response.
-Consider the selection of officers for a club. Is this a combination, a permutation, or neither?

Accepted Answer

A)  Combination 
B)  Permutation 
C)  Neither 
A)  Combination 
B)  Permutation 
C)  Neither

Question 20

Find all the terms of the finite sequence.
-

Accepted Answer

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

Solve the problem. -What is the coefficient of in the expansion of

Write a recursion formula for the sequence. --8, -1, 6, 13, . . .

Solve the problem. -A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?

Find the common ratio for the geometric sequence. -2, 6, 18, 54, 162

Find the requested sum of the arithmetic sequence. -

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

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

Solve the problem. -A rose garden has 16 bushes in one row, 13 bushes in the next row, then 10, and so on. If there are 51 bushes in the garden, in how many rows are they planted?

Find the mean for the sequence of numbers. -11, 7, 5, 14, 9, 3, 17

List all equally likely outcomes in the sample space for the indicated experiment. -A coin is tossed, and then a die is rolled.

Evaluate the expression. -C(4, 0)

Write a recursion formula for the sequence. -

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula. --3, 3, 9, 15, 21, . . .

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: The sum is ten. B: The numbers are the same.

Find the sum of the series. -

Use the addition rule to solve the problem. -If P(A) = 0.3, P(B) = 0.6, and = 0.2, then what is

Identify the sequence as arithmetic, geometric, or neither. -

Provide an appropriate response. -Consider determining how many possible phone numbers there are in an area code (repeated digits allowed). Is this an exercise in combinations, permutations, or neither?

Provide an appropriate response. -Consider the selection of officers for a club. Is this a combination, a permutation, or neither?

Find all the terms of the finite 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

Filters

Exam 11: Sequences, Series, and Probability

Solve the problem. -What is the coefficient of in the expansion of

Write a recursion formula for the sequence. --8, -1, 6, 13, . . .

Solve the problem. -A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?

Find the common ratio for the geometric sequence. -2, 6, 18, 54, 162

Find the requested sum of the arithmetic sequence. -

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

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

Solve the problem. -A rose garden has 16 bushes in one row, 13 bushes in the next row, then 10, and so on. If there are 51 bushes in the garden, in how many rows are they planted?

Find the mean for the sequence of numbers. -11, 7, 5, 14, 9, 3, 17

List all equally likely outcomes in the sample space for the indicated experiment. -A coin is tossed, and then a die is rolled.

Evaluate the expression. -C(4, 0)

Write a recursion formula for the sequence. -

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula. --3, 3, 9, 15, 21, . . .

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: The sum is ten. B: The numbers are the same.

Find the sum of the series. -

Use the addition rule to solve the problem. -If P(A) = 0.3, P(B) = 0.6, and = 0.2, then what is

Identify the sequence as arithmetic, geometric, or neither. -

Provide an appropriate response. -Consider determining how many possible phone numbers there are in an area code (repeated digits allowed). Is this an exercise in combinations, permutations, or neither?

Provide an appropriate response. -Consider the selection of officers for a club. Is this a combination, a permutation, or neither?

Find all the terms of the finite 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

Filters