Question 1

Write a recursion formula for the sequence.
-

Accepted Answer

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

Question 2

Solve the problem.
-A restaurant offered salads with 6 types of dressings and one choice of 5 different toppings. How many different types of salads could be offered?

Accepted Answer

A)  36 
B)  25 
C)  11 
D)  30 
A)  36 
B)  25 
C)  11 
D)  30

Question 3

Write the repeating decimal number as a fraction.
-7.3030303 . . .

Accepted Answer

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

Question 4

Use the addition rule to solve the problem.
-Give the probability that the roll of a die will show 1 or 3.

Accepted Answer

A)    
B)  2 
C)    
D)    
A)    
B)  2 
C)    
D)

Question 5

Find the sum of the series.
-

Accepted Answer

A)  262,144 
B)  5440 
C)  384 
D)  4096 
A)  262,144 
B)  5440 
C)  384 
D)  4096

Question 6

Evaluate the expression.
-

Accepted Answer

A)  0 
B)  3 
C)  6 
D)  1 
A)  0 
B)  3 
C)  6 
D)  1

Question 7

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula.
-2, 4, 8, 16, 32, . . .

Accepted Answer

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

Question 8

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

A)  4 
B)  2 
C)  3 
D)  5 
A)  4 
B)  2 
C)  3 
D)  5

Question 9

Solve the problem.
-Give the number of possible outcomes for tossing 4 dice and 2 coins.

Accepted Answer

A)  96 
B)  28 
C)  1300 
D)  5184 
A)  96 
B)  28 
C)  1300 
D)  5184

Question 10

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate.
-25 - 5 + 1 -   + . . .

Accepted Answer

A)  21.8 
B)  23.1 
C)  20.3 
D)  20.83 
A)  21.8 
B)  23.1 
C)  20.3 
D)  20.83

Question 11

Solve the problem.
-  Give the number of possible outcomes for spinning the first spinner 3 times and the second spinner 3 times.

Accepted Answer

A)  21 
B)  1728 
C)  91 
D)  108 
A)  21 
B)  1728 
C)  91 
D)  108

Question 12

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

Accepted Answer

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

Question 13

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

A)  2 
B)  5 
C)  4 
D)  3 
A)  2 
B)  5 
C)  4 
D)  3

Question 14

Find the first five terms of the arithmetic sequence.
-

Accepted Answer

A)  -2, -5, -8, -11, -14 
B)  2, 5, 8, 11, 14 
C)  4, 7, 10, 13, 16 
D)  2, 3, 4, 5, 6 
A)  -2, -5, -8, -11, -14 
B)  2, 5, 8, 11, 14 
C)  4, 7, 10, 13, 16 
D)  2, 3, 4, 5, 6

Question 15

Find the indicated part of the arithmetic sequence.
-Find the 34th term of the sequence that has a first term of 7 and a common difference of -5.

Accepted Answer

A)  -158 
B)  172 
C)  -163 
D)  177 
A)  -158 
B)  172 
C)  -163 
D)  177

Question 16

Solve.
-A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

Accepted Answer

A)  15,120 
B)  59,049 
C)  45 
D)  126 
A)  15,120 
B)  59,049 
C)  45 
D)  126

Question 17

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 18

Identify the sequence as arithmetic, geometric, or neither.
-4, 8, 16, 32, 64, . . .

Accepted Answer

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

Question 19

Solve the problem.
-Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

Accepted Answer

A)  1 to 7 
B)  2 to 21 
C)  1 to 6 
D)  1 to 9 
A)  1 to 7 
B)  2 to 21 
C)  1 to 6 
D)  1 to 9

Question 20

Solve the problem.
-In how many ways can a class president and a class secretary be chosen from a group of 10 candidates?

Accepted Answer

A)  720 
B)  90 
C)  20 
D)  19 
A)  720 
B)  90 
C)  20 
D)  19

Write a recursion formula for the sequence. -

Solve the problem. -A restaurant offered salads with 6 types of dressings and one choice of 5 different toppings. How many different types of salads could be offered?

Write the repeating decimal number as a fraction. -7.3030303 . . .

Use the addition rule to solve the problem. -Give the probability that the roll of a die will show 1 or 3.

Find the sum of the series. -

Evaluate the expression. -

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. -2, 4, 8, 16, 32, . . .

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -Give the number of possible outcomes for tossing 4 dice and 2 coins.

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -25 - 5 + 1 - + . . .

Solve the problem. - Give the number of possible outcomes for spinning the first spinner 3 times and the second spinner 3 times.

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

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Find the first five terms of the arithmetic sequence. -

Find the indicated part of the arithmetic sequence. -Find the 34th term of the sequence that has a first term of 7 and a common difference of -5.

Solve. -A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

Write out the first five terms of the sequence. -

Identify the sequence as arithmetic, geometric, or neither. -4, 8, 16, 32, 64, . . .

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

Solve the problem. -In how many ways can a class president and a class secretary be chosen from a group of 10 candidates?

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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Exam 11: Sequences, Series, and Probability

Write a recursion formula for the sequence. -

Solve the problem. -A restaurant offered salads with 6 types of dressings and one choice of 5 different toppings. How many different types of salads could be offered?

Write the repeating decimal number as a fraction. -7.3030303 . . .

Use the addition rule to solve the problem. -Give the probability that the roll of a die will show 1 or 3.

Find the sum of the series. -

Evaluate the expression. -

Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. -2, 4, 8, 16, 32, . . .

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Solve the problem. -Give the number of possible outcomes for tossing 4 dice and 2 coins.

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -25 - 5 + 1 - + . . .

Solve the problem. - Give the number of possible outcomes for spinning the first spinner 3 times and the second spinner 3 times.

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

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Find the first five terms of the arithmetic sequence. -

Find the indicated part of the arithmetic sequence. -Find the 34th term of the sequence that has a first term of 7 and a common difference of -5.

Solve. -A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

Write out the first five terms of the sequence. -

Identify the sequence as arithmetic, geometric, or neither. -4, 8, 16, 32, 64, . . .

Solve the problem. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

Solve the problem. -In how many ways can a class president and a class secretary be chosen from a group of 10 candidates?

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