Question 1

Find the third term of the sequence:   is the number of decimal places in   .

Accepted Answer

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

Question 2

A bicycle rider coasts downhill, traveling 7 feet the first second. In each succeeding second, the rider travels 5 feet farther than in the preceding second. If the rider reaches the bottom of the hill in 10 seconds, find the total distance traveled.

Accepted Answer

A) 275 feet 
B) 300 feet 
C) 290 feet 
D) 295 feet 
E) 310 feet 
A) 275 feet 
B) 300 feet 
C) 290 feet 
D) 295 feet 
E) 310 feet

Question 3

A rubber ball is dropped from a height of 50 feet. If it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.

Accepted Answer

A) 200 ft 
B) 50 ft 
C) 250 ft 
D) 150 ft 
E) 400 ft 
A) 200 ft 
B) 50 ft 
C) 250 ft 
D) 150 ft 
E) 400 ft

Question 4

A committee of 3 men and 2 women is to be chosen from a group of 11 men and 9 women. Determine the number of different ways of selecting the committee.

Accepted Answer

A) 5,940 
B) 3 
C) 35,640 
D) 165 
A) 5,940 
B) 3 
C) 35,640 
D) 165

Question 5

Evaluate the expression. 6!0!

Accepted Answer

A) 0 
B) 5,040 
C) 40,320 
D) 1 
E) 720 
A) 0 
B) 5,040 
C) 40,320 
D) 1 
E) 720

Question 6

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Accepted Answer

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

Question 7

Without expanding completely, find the term in the expansion of the expression that contains   .

Accepted Answer

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

Question 8

In how many different ways can a test consisting of seven true-or-false questions be completed?

Accepted Answer

A) 49 
B) 128 
C) 256 
D) 14 
E) 9 
A) 49 
B) 128 
C) 256 
D) 14 
E) 9

Question 9

A committee is going to select 29 students from a pool of 800 to receive scholarships. How may ways could the students be selected if each scholarship is worth the same amount?

Accepted Answer

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

Question 10

A girl has three skirts, six blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Accepted Answer

A) 11 
B) 18 
C) 36 
D) 46 
E) 32 
A) 11 
B) 18 
C) 36 
D) 46 
E) 32

Question 11

Bode's sequence, defined by   can be used to approximate distances of planets from the sun. These distances are measured in astronomical units, with 1 AU = 93,000,000 mi. For example, the third term corresponds to earth and the fifth term to the minor planet Ceres. Find the 4th term of the sequence.

Accepted Answer

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

Question 12

A girl has four skirts, nine blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Accepted Answer

A) 72 
B) 15 
C) 82 
D) 36 
E) 68 
A) 72 
B) 15 
C) 82 
D) 36 
E) 68

Question 13

Find the third term of the geometric sequence whose first two terms are 4 and 16.

Accepted Answer

A) 28 
B) 40 
C) 1,024 
D) 64 
E) 256 
A) 28 
B) 40 
C) 1,024 
D) 64 
E) 256

Question 14

If eleven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.

Accepted Answer

A) 110 
B) 6 
C) 7,920 
D) 11,880 
E) 990 
A) 110 
B) 6 
C) 7,920 
D) 11,880 
E) 990

Question 15

Find the third term of the recursively defined infinite sequence.

Accepted Answer

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

Question 16

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Accepted Answer

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

Question 17

Use the binomial theorem to expand and simplify.

Accepted Answer

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

Question 18

Use the principle of mathematical induction to find the factor of the expression.   Hint:

Accepted Answer

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

Question 19

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Accepted Answer

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

Question 20

Find the specified term of the arithmetic sequence that has the two given terms.

Accepted Answer

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

Find the third term of the sequence: is the number of decimal places in .

A bicycle rider coasts downhill, traveling 7 feet the first second. In each succeeding second, the rider travels 5 feet farther than in the preceding second. If the rider reaches the bottom of the hill in 10 seconds, find the total distance traveled.

A rubber ball is dropped from a height of 50 feet. If it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.

A committee of 3 men and 2 women is to be chosen from a group of 11 men and 9 women. Determine the number of different ways of selecting the committee.

Evaluate the expression. 6!0!

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Without expanding completely, find the term in the expansion of the expression that contains .

In how many different ways can a test consisting of seven true-or-false questions be completed?

A committee is going to select 29 students from a pool of 800 to receive scholarships. How may ways could the students be selected if each scholarship is worth the same amount?

A girl has three skirts, six blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Bode's sequence, defined by can be used to approximate distances of planets from the sun. These distances are measured in astronomical units, with 1 AU = 93,000,000 mi. For example, the third term corresponds to earth and the fifth term to the minor planet Ceres. Find the 4th term of the sequence.

A girl has four skirts, nine blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Find the third term of the geometric sequence whose first two terms are 4 and 16.

If eleven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.

Find the third term of the recursively defined infinite sequence.

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Use the binomial theorem to expand and simplify.

Use the principle of mathematical induction to find the factor of the expression. Hint:

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Find the specified term of the arithmetic sequence that has the two given terms.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Topics From Analytic Geometry

Filters

Exam 10: Sequences, Series and Probability

Find the third term of the sequence: is the number of decimal places in .

A bicycle rider coasts downhill, traveling 7 feet the first second. In each succeeding second, the rider travels 5 feet farther than in the preceding second. If the rider reaches the bottom of the hill in 10 seconds, find the total distance traveled.

A rubber ball is dropped from a height of 50 feet. If it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.

A committee of 3 men and 2 women is to be chosen from a group of 11 men and 9 women. Determine the number of different ways of selecting the committee.

Evaluate the expression. 6!0!

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Without expanding completely, find the term in the expansion of the expression that contains .

In how many different ways can a test consisting of seven true-or-false questions be completed?

A committee is going to select 29 students from a pool of 800 to receive scholarships. How may ways could the students be selected if each scholarship is worth the same amount?

A girl has three skirts, six blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Bode's sequence, defined by can be used to approximate distances of planets from the sun. These distances are measured in astronomical units, with 1 AU = 93,000,000 mi. For example, the third term corresponds to earth and the fifth term to the minor planet Ceres. Find the 4th term of the sequence.

A girl has four skirts, nine blouses and two sweaters. How many different skirt-blouse-sweater combinations can she wear?

Find the third term of the geometric sequence whose first two terms are 4 and 16.

If eleven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.

Find the third term of the recursively defined infinite sequence.

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Use the binomial theorem to expand and simplify.

Use the principle of mathematical induction to find the factor of the expression. Hint:

Use the principle of mathematical induction to find the equivalent expression for every positive integer n.

Find the specified term of the arithmetic sequence that has the two given terms.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Topics From Analytic Geometry

Filters