Question 1

Graph the sequence   .

Accepted Answer

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

Question 2

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Accepted Answer

A)  The sequence diverges. 
B)  The sequence converges to 2. 
C)  The sequence converges to -1. 
D)  The sequence converges to 1. 
E)  The sequence converges to 0. 
A)  The sequence diverges. 
B)  The sequence converges to 2. 
C)  The sequence converges to -1. 
D)  The sequence converges to 1. 
E)  The sequence converges to 0. E

Question 3

Write an expression for the nth term of the sequence   .

Accepted Answer

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

Question 4

Write an expression for the nth term of the sequence   .

Accepted Answer

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

Question 5

A deposit of $225 is made at the beginning of each month into an account at an annual interest rate of 3% compounded monthly. The balance in the account after n months is   . Find the balance in the account after 4 years by computing the 48th term of the sequence. Round your answer to two decimal places.

Accepted Answer

A)  $11,488.17 
B)  $905.64 
C)  $9,172.05 
D)  $24,404.88 
E)  $1,818.08 
A)  $11,488.17 
B)  $905.64 
C)  $9,172.05 
D)  $24,404.88 
E)  $1,818.08

Question 6

A government program that currently costs taxpayers $2.5 billion per year is cut back by 30 percent per year. Write an expression for the amount budgeted for this program after n years.

Accepted Answer

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

Question 7

A government program that currently costs taxpayers $3.5 billion per year is cut back by 30 percent per year. Compute the budget after the fifth year. Round your answer to the nearest integer.

Accepted Answer

A)  $1,552,968,594 
B)  $272,160,000 
C)  $8,505,000 
D)  $1,146,880,000 
E)  $588,245,000 
A)  $1,552,968,594 
B)  $272,160,000 
C)  $8,505,000 
D)  $1,146,880,000 
E)  $588,245,000

Question 8

Match the sequence with its graph.

Accepted Answer

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

Question 9

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Accepted Answer

A)  The sequence converges to -1. 
B)  The sequence converges to 0. 
C)  The sequence diverges. 
D)  The sequence converges to 1. 
E)  The sequence diverges to 1. 
A)  The sequence converges to -1. 
B)  The sequence converges to 0. 
C)  The sequence diverges. 
D)  The sequence converges to 1. 
E)  The sequence diverges to 1.

Question 10

Write the next two apparent terms of the sequence   .

Accepted Answer

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

Question 11

Write the first five terms of the sequence.

Accepted Answer

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

Question 12

Match the sequence with its graph.

Accepted Answer

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

Question 13

Write the first three terms of the sequence.

Accepted Answer

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

Question 14

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Accepted Answer

A)  The sequence diverges to 0. 
B)  The sequence diverges. 
C)  The sequence converges to 0. 
D)  The sequence converges to 1. 
E)  The sequence converges to   . 
A)  The sequence diverges to 0. 
B)  The sequence diverges. 
C)  The sequence converges to 0. 
D)  The sequence converges to 1. 
E)  The sequence converges to   .

Question 15

Consider the sequence   whose nth term is given by   where P is the principal,   is the account balance in dollars after n months, and r is the interest rate compounded annually. Find the fourth term of the sequence if   and   . Round your answer to two decimal places.

Accepted Answer

A)  $9,296.08 
B)  $9,599.41 
C)  $9,396.38 
D)  $9,196.59 
E)  $9,236.29 
A)  $9,296.08 
B)  $9,599.41 
C)  $9,396.38 
D)  $9,196.59 
E)  $9,236.29

Question 16

Write the first five terms of the sequence.

Accepted Answer

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

Question 17

If the rate of inflation is   % per year and the average price of a car is currently $40,000, the average price after n years is   . Compute the average price after 6 years. Round your answer to two decimal places.

Accepted Answer

A)  $32,301.59 
B)  $49,170.21 
C)  $248,400.00 
D)  $45,937.01 
E)  $231,600.00 
A)  $32,301.59 
B)  $49,170.21 
C)  $248,400.00 
D)  $45,937.01 
E)  $231,600.00

Exam 9: Section 1: Infinite Series

Graph the sequence .

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Write an expression for the nth term of the sequence .

Write an expression for the nth term of the sequence .

A government program that currently costs taxpayers $2.5 billion per year is cut back by 30 percent per year. Write an expression for the amount budgeted for this program after n years.

A government program that currently costs taxpayers $3.5 billion per year is cut back by 30 percent per year. Compute the budget after the fifth year. Round your answer to the nearest integer.

Match the sequence with its graph.

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Write the next two apparent terms of the sequence .

Write the first five terms of the sequence.

Match the sequence with its graph.

Write the first three terms of the sequence.

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Consider the sequence whose nth term is given by where P is the principal, is the account balance in dollars after n months, and r is the interest rate compounded annually. Find the fourth term of the sequence if and . Round your answer to two decimal places.

Write the first five terms of the sequence.

If the rate of inflation is % per year and the average price of a car is currently $40,000, the average price after n years is . Compute the average price after 6 years. Round your answer to two decimal places.

Section 1: Preparation for Calculus

Section 2: Preparation for Calculus

Section 3: Preparation for Calculus

Section 4: Preparation for Calculus

Section 5: Preparation for Calculus

Section 6: Preparation for Calculus

Section 1: Limits and Their Properties

Section 2: Limits and Their Properties

Section 3: Limits and Their Properties

Section 4: Limits and Their Properties

Section 5 : Limits and Their Properties

Section 1 : Differentiation

Section 2: Differentiation

Section 3: Differentiation

Section 4 : Differentiation

Section 5: Differentiation

Section 6: Differentiation

Section 7: Differentiation

Section 8: Differentiation

Section 1 : Applications of Differentiation

Section 2: Applications of Differentiation

Section 3: Applications of Differentiation

Section 4: Applications of Differentiation

Section 5: Applications of Differentiation

Section 6: Applications of Differentiation

Section 7: Applications of Differentiation

Section 8: Applications of Differentiation

Section 1: Integration

Section 2: Integration

Section 3: Integration

Section 4: Integration

Section 5: Integration

Section 6: Integration

Section 7: Integration

Section 8: Integration

Section 9: Integration

Section 1: Differential Equations

Section 2: Differential Equations

Section 3: Differential Equations

Section 4: Differential Equations

Section 5: Differential Equations

Section 1: Applications of Integration

Section 2: Applications of Integration

Section 3: Applications of Integration

Section 4: Applications of Integration

Section 5: Applications of Integration

Section 6: Applications of Integration

Section 7: Applications of Integration

Section 1: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 3: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 5: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 6: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 7: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 8: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Section 2: Infinite Series

Section 3: Infinite Series

Section 4: Infinite Series

Section 5: Infinite Series

Section 6: Infinite Series

Section 7: Infinite Series

Section 8: Infinite Series