Question 1

Evaluate the expression.
-

Accepted Answer

A) 1 
B) 5,040 
C) 2 
D) 0 
A) 1 
B) 5,040 
C) 2 
D) 0

Question 2

Expand the expression using the Binomial Theorem.
-

Accepted Answer

A) 1   
B)    
C)    
D)    
A) 1   
B)    
C)    
D)

Question 3

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 4

Use a graphing utility to find the sum of the geometric sequence. Round answer to two decimal places, if necessary.
-

Accepted Answer

A) -195 
B) -195.29 
C) -194 
D) -195.86 
A) -195 
B) -195.29 
C) -194 
D) -195.86

Question 5

Find the sum.
-

Accepted Answer

A) -1,485 
B) -1,435.5 
C) -1,402.5 
D) -1,287 
A) -1,485 
B) -1,435.5 
C) -1,402.5 
D) -1,287

Question 6

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
-a = -3;

Accepted Answer

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

Question 7

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
-7, -14, 28, -56, 112, ...

Accepted Answer

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

Question 8

Solve.
-Find the 10th term of the geometric sequence   .

Accepted Answer

A) 6561 
B) 19683 
C) 2187 
D) 177,147 
A) 6561 
B) 19683 
C) 2187 
D) 177,147

Question 9

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
-

Accepted Answer

A) Converges; 12 
B) Converges; 16 
C) Converges; 4 
D) Diverges 
A) Converges; 12 
B) Converges; 16 
C) Converges; 4 
D) Diverges

Question 10

Use the Binomial Theorem to find the indicated coefficient or term.
-The 5th term in the expansion of

Accepted Answer

A) 810x 
B)    
C) 1,215 
D) 270x 
A) 810x 
B)    
C) 1,215 
D) 270x

Question 11

Determine whether the sequence is arithmetic.
-2, -3, -8, -13, -18, ...

Accepted Answer

A) Arithmetic 
B) Not arithmetic 
A) Arithmetic 
B) Not arithmetic

Question 12

Express the sum using summation notation.
-

Accepted Answer

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

Question 13

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 14

Evaluate the expression.
-

Accepted Answer

A) 10 
B) 1 
C)    
D)    
A) 10 
B) 1 
C)    
D)

Question 15

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
-

Accepted Answer

A) Converges;   
B) Converges;   
C) Converges;   
D) Diverges 
A) Converges;   
B) Converges;   
C) Converges;   
D) Diverges

Question 16

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

Accepted Answer

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

Question 17

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.
-

Accepted Answer

First we show that the statement is true

Question 18

Find the indicated term using the given information.
-a 14 = -64, a19 = -89; a1

Accepted Answer

A) 1 
B) -4 
C) -5 
D) -9 
A) 1 
B) -4 
C) -5 
D) -9

Question 19

Evaluate the factorial expression.
-

Accepted Answer

A) 252 
B) 504 
C) 30,240 
D) 126 
A) 252 
B) 504 
C) 30,240 
D) 126

Question 20

The given pattern continues. Write down the nth term of the sequence   suggested by the pattern.
-

Accepted Answer

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

Evaluate the expression. -

Expand the expression using the Binomial Theorem. -

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

Use a graphing utility to find the sum of the geometric sequence. Round answer to two decimal places, if necessary. -

Find the sum. -

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -a = -3;

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -7, -14, 28, -56, 112, ...

Solve. -Find the 10th term of the geometric sequence .

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

Use the Binomial Theorem to find the indicated coefficient or term. -The 5th term in the expansion of

Determine whether the sequence is arithmetic. -2, -3, -8, -13, -18, ...

Express the sum using summation notation. -

Expand the expression using the Binomial Theorem. -

Evaluate the expression. -

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

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

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. -

Find the indicated term using the given information. -a 14 = -64, a19 = -89; a1

Evaluate the factorial expression. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -

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Exam 9: Sequences; Induction; the Binomial Theorem

Evaluate the expression. -

Expand the expression using the Binomial Theorem. -

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

Use a graphing utility to find the sum of the geometric sequence. Round answer to two decimal places, if necessary. -

Find the sum. -

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -a = -3;

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -7, -14, 28, -56, 112, ...

Solve. -Find the 10th term of the geometric sequence .

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

Use the Binomial Theorem to find the indicated coefficient or term. -The 5th term in the expansion of

Determine whether the sequence is arithmetic. -2, -3, -8, -13, -18, ...

Express the sum using summation notation. -

Expand the expression using the Binomial Theorem. -

Evaluate the expression. -

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -

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

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. -

Find the indicated term using the given information. -a 14 = -64, a19 = -89; a1

Evaluate the factorial expression. -

The given pattern continues. Write down the nth term of the sequence suggested by the pattern. -

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