Question 1

Write out the sum.
-

Accepted Answer

A) 20 + 21 + 22 + ... + (n + 19) 
B) n + 19 
C) 19 + 20 + 21 + ... + (n + 19) 
D) 1 + 2 + 3 + ... + n 
A) 20 + 21 + 22 + ... + (n + 19) 
B) n + 19 
C) 19 + 20 + 21 + ... + (n + 19) 
D) 1 + 2 + 3 + ... + n

Question 2

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

Accepted Answer

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

Question 3

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 4

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

Accepted Answer

A) 19,440 
B) 34,560 
C) 11,664 
D) 23,328 
A) 19,440 
B) 34,560 
C) 11,664 
D) 23,328

Question 5

Write the word or phrase that best completes each statement or answers the question.
-Maria deposited $1500 in an independent retirement account at her bank. She earns 0.5% interest permonth on the balance. Each month, she deposits $100 in the account. Her balance each month after makinga $100 deposit, is given by the recursively defined sequence   If she made the initial deposit on September 30, and makes each monthly deposit on the last day of the monhow much money will be in the account at the end of the year for Maria to count as a deduction for that yeafederal income taxes? That is, determine

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

Write out the first five terms of the sequence.
-

Accepted Answer

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

Question 7

Find the sum of the sequence.
-

Accepted Answer

A) 84 
B) 7 
C) 12 
D) 5 
A) 84 
B) 7 
C) 12 
D) 5

Question 8

Solve.
-Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of$1500 per year. How many years will it be before youʹve made a total (or aggregate)salary of $1,025,000?

Accepted Answer

A) 20 years 
B) 21 years 
C) 25 years 
D) 18 years 
A) 20 years 
B) 21 years 
C) 25 years 
D) 18 years

Question 9

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

When n = 1, the left side of the stateme

Question 10

Find the indicated term using the given information.
-

Accepted Answer

A)    
B)    
C) 15 
D)    
A)    
B)    
C) 15 
D)

Question 11

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

Accepted Answer

A) 6 
B) 2 
C) 9 
D) 3 
A) 6 
B) 2 
C) 9 
D) 3

Question 12

Find the nth term {an} of the geometric sequence. When given, r is the common ratio.
-a = -2; r = -6

Accepted Answer

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

Question 13

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

Accepted Answer

A) 9,375 
B) 5,625 
C) 15,625 
D) 1,875 
A) 9,375 
B) 5,625 
C) 15,625 
D) 1,875

Question 14

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 15

Solve.
-A new piece of equipment cost a company $45,000. Each year, for tax purposes, the company depreciatesthe value by 25%.What value should the company give the equipment after 6 years?

Accepted Answer

A) $8,009 
B) $11 
C) $10,679 
D) $44 
A) $8,009 
B) $11 
C) $10,679 
D) $44

Question 16

Evaluate the expression.
-

Accepted Answer

A) 1 
B) 40,320 
C) 2 
D) 0 
A) 1 
B) 40,320 
C) 2 
D) 0

Question 17

Solve.
-Given that   what is the fifth term of this recursively definedsequence?

Accepted Answer

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

Question 18

Find the sum.
-1 + 2 + 3 + ... + 536

Accepted Answer

A) 143916 
B) 143380 
C) 287,832 
D) 287,296 
A) 143916 
B) 143380 
C) 287,832 
D) 287,296

Question 19

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 20

Use the Binomial Theorem to find the indicated coefficient or term.
-The 7th term in the expansion of

Accepted Answer

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

Write out the sum. -

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

Expand the expression using the Binomial Theorem. -

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

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

Solve. -Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of$1500 per year. How many years will it be before youʹve made a total (or aggregate)salary of $1,025,000?

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. -

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

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -a = -2; r = -6

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

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. -

Solve. -A new piece of equipment cost a company $45,000. Each year, for tax purposes, the company depreciatesthe value by 25%.What value should the company give the equipment after 6 years?

Evaluate the expression. -

Solve. -Given that what is the fifth term of this recursively definedsequence?

Find the sum. -1 + 2 + 3 + ... + 536

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. -

Use the Binomial Theorem to find the indicated coefficient or term. -The 7th term in the expansion of

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

Exam 9: Sequences; Induction; the Binomial Theorem

Write out the sum. -

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

Expand the expression using the Binomial Theorem. -

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

Write out the first five terms of the sequence. -

Find the sum of the sequence. -

Solve. -Suppose you just received a job offer with a starting salary of $37,000 per year and a guaranteed raise of$1500 per year. How many years will it be before youʹve made a total (or aggregate)salary of $1,025,000?

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. -

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

Find the nth term {an} of the geometric sequence. When given, r is the common ratio. -a = -2; r = -6

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

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. -

Solve. -A new piece of equipment cost a company $45,000. Each year, for tax purposes, the company depreciatesthe value by 25%.What value should the company give the equipment after 6 years?

Evaluate the expression. -

Solve. -Given that what is the fifth term of this recursively definedsequence?

Find the sum. -1 + 2 + 3 + ... + 536

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. -

Use the Binomial Theorem to find the indicated coefficient or term. -The 7th term in the expansion of

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