Question 1

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
-a = 2;

Accepted Answer

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

Question 2

Evaluate the factorial expression.
-

Accepted Answer

A) 12 
B)    
C)    
D) 4 
A) 12 
B)    
C)    
D) 4

Question 3

Find the sum.
-

Accepted Answer

A) 3,434 
B) 3,332 
C) 3,604 
D) 3,723 
A) 3,434 
B) 3,332 
C) 3,604 
D) 3,723

Question 4

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
-a = 7; r = -3

Accepted Answer

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

Question 5

Evaluate the expression.
-

Accepted Answer

A) 36 
B) 72 
C) 18 
D) 1 
A) 36 
B) 72 
C) 18 
D) 1

Question 6

The sequence is defined recursively. Write the first four terms.
-

Accepted Answer

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

Question 7

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
-a = -7; r = -3

Accepted Answer

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

Question 8

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 9

The sequence is defined recursively. Write the first four terms.
-

Accepted Answer

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

Question 10

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference,
d, are given.
-

Accepted Answer

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

Question 11

Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-4 + 8 + 12 + ... + 4n = 2n(n + 1)

Accepted Answer

First we show that the statement is true

Question 12

Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-1 ∙ 7 + 2 ∙ 7 + 3 ∙ 7 + . . . + 7n =

Accepted Answer

First we show that the statement is true

Question 13

Express the sum using summation notation.
-

Accepted Answer

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

Question 14

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 15

Solve.
-Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays6.5% per year compounded annually. You plan to invest $2,500 at the end of each year for the next 10years. How much will your account have in it at the end of 10 years?

Accepted Answer

A) $33,736 
B) $35,506 
C) $32,193 
D) $35,034 
A) $33,736 
B) $35,506 
C) $32,193 
D) $35,034

Question 16

A geometric sequence is given. Find the common ratio and write out the first four terms.
-

Accepted Answer

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

Question 17

Find the sum of the sequence.
-

Accepted Answer

A) -10 
B) -4 
C) -3 
D) -12 
A) -10 
B) -4 
C) -3 
D) -12

Question 18

Mathematical Induction
1 Prove Statements Using Mathematical Induction
 Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Show that the statement ʺ   is a prime numberʺ is true for n = 1, but is not true for n = 3.

Accepted Answer

When @#IMG-DLM& , which is a prime numbe

Question 19

Write out the sum.
-

Accepted Answer

A)    
B)    
C) 3 + 12 + 27 + ... +   
D) 1 + 2 + 3 + ... + n 
A)    
B)    
C) 3 + 12 + 27 + ... +   
D) 1 + 2 + 3 + ... + n

Question 20

Solve.
-A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swingsonly 70% as far as on the previous swing. How far will it swing altogether before coming to a completestop?

Accepted Answer

A) 233 inches 
B) 100 inches 
C) 117 inches 
D) 200 inches 
A) 233 inches 
B) 100 inches 
C) 117 inches 
D) 200 inches

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 2;

Evaluate the factorial expression. -

Find the sum. -

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 7; r = -3

Evaluate the expression. -

The sequence is defined recursively. Write the first four terms. -

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = -7; r = -3

Expand the expression using the Binomial Theorem. -

The sequence is defined recursively. Write the first four terms. -

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. -

Mathematical Induction 1 Prove Statements Using Mathematical Induction Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. -4 + 8 + 12 + ... + 4n = 2n(n + 1)

Express the sum using summation notation. -

Expand the expression using the Binomial Theorem. -

Solve. -Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays6.5% per year compounded annually. You plan to invest $2,500 at the end of each year for the next 10years. How much will your account have in it at the end of 10 years?

A geometric sequence is given. Find the common ratio and write out the first four terms. -

Find the sum of the sequence. -

Write out the sum. -

Solve. -A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swingsonly 70% as far as on the previous swing. How far will it swing altogether before coming to a completestop?

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Exam 9: Sequences; Induction; the Binomial Theorem

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 2;

Evaluate the factorial expression. -

Find the sum. -

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = 7; r = -3

Evaluate the expression. -

The sequence is defined recursively. Write the first four terms. -

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. -a = -7; r = -3

Expand the expression using the Binomial Theorem. -

The sequence is defined recursively. Write the first four terms. -

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. -

Mathematical Induction 1 Prove Statements Using Mathematical Induction Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. -4 + 8 + 12 + ... + 4n = 2n(n + 1)

Express the sum using summation notation. -

Expand the expression using the Binomial Theorem. -

Solve. -Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays6.5% per year compounded annually. You plan to invest $2,500 at the end of each year for the next 10years. How much will your account have in it at the end of 10 years?

A geometric sequence is given. Find the common ratio and write out the first four terms. -

Find the sum of the sequence. -

Write out the sum. -

Solve. -A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swingsonly 70% as far as on the previous swing. How far will it swing altogether before coming to a completestop?

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Counting and Probability

Graphing Utilities

Filters