Question 1

Find the indicated term using the given information.
-a = 7,

Accepted Answer

A) - 5 
B)    
C) 19 
D)    
A) - 5 
B)    
C) 19 
D)

Question 2

Find the sum of the sequence.
-

Accepted Answer

A) 30 
B) 18 
C) 14 
D) 20 
A) 30 
B) 18 
C) 14 
D) 20

Question 3

Determine whether the sequence is arithmetic.
-1, 4, 7, 10, 13, ...

Accepted Answer

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

Question 4

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 5

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 6

Express the sum using summation notation.
-

Accepted Answer

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

Question 7

Solve.
-Carla takes a job with a starting salary of $42,000 for the first year with an annual increase of 6% beginningin the second year. What is Carlaʹs salary, to the nearest dollar, in the sixth year?

Accepted Answer

A) $56,205 
B) $56,788 
C) $54,783 
D) $58,307 
A) $56,205 
B) $56,788 
C) $54,783 
D) $58,307

Question 8

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 9

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

Accepted Answer

A) -945 
B) 945 
C) 2835 
D) -2835 
A) -945 
B) 945 
C) 2835 
D) -2835

Question 10

Solve.
-For the geometric sequence

Accepted Answer

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

Question 11

Solve.
-Domenica invests $250 each quarter in a fixed-interest mutual fund paying annual interest of 7%compounded quarterly. How much will her account have in it at the end of 11 years?

Accepted Answer

A) $16,363 
B) $3,946 
C) $49,343 
D) $16,492 
A) $16,363 
B) $3,946 
C) $49,343 
D) $16,492

Question 12

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.
-12 + 6 + 3 + ...

Accepted Answer

A) Converges; 24 
B) Converges; - 12 
C) Converges; 21 
D) Diverges 
A) Converges; 24 
B) Converges; - 12 
C) Converges; 21 
D) Diverges

Question 13

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 14

Find the sum.
-

Accepted Answer

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

Question 15

Evaluate the factorial expression.
-

Accepted Answer

A)    
B) 20 
C)    
D)    
A)    
B) 20 
C)    
D)

Question 16

Find the indicated term of the geometric sequence.
-8th term of

Accepted Answer

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

Question 17

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

Accepted Answer

A)    
B)    
C)    
D) n(n + 3) 
A)    
B)    
C)    
D) n(n + 3)

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.
-

Accepted Answer

First we show that the statement is true

Question 19

Expand the expression using the Binomial Theorem.
-

Accepted Answer

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

Question 20

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)

Find the indicated term using the given information. -a = 7,

Find the sum of the sequence. -

Determine whether the sequence is arithmetic. -1, 4, 7, 10, 13, ...

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

Expand the expression using the Binomial Theorem. -

Express the sum using summation notation. -

Solve. -Carla takes a job with a starting salary of $42,000 for the first year with an annual increase of 6% beginningin the second year. What is Carlaʹs salary, to the nearest dollar, in the sixth year?

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

Solve. -For the geometric sequence

Solve. -Domenica invests $250 each quarter in a fixed-interest mutual fund paying annual interest of 7%compounded quarterly. How much will her account have in it at the end of 11 years?

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -12 + 6 + 3 + ...

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

Find the sum. -

Evaluate the factorial expression. -

Find the indicated term of the geometric sequence. -8th term of

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

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. -

Expand the expression using the Binomial Theorem. -

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

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

Find the indicated term using the given information. -a = 7,

Find the sum of the sequence. -

Determine whether the sequence is arithmetic. -1, 4, 7, 10, 13, ...

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

Expand the expression using the Binomial Theorem. -

Express the sum using summation notation. -

Solve. -Carla takes a job with a starting salary of $42,000 for the first year with an annual increase of 6% beginningin the second year. What is Carlaʹs salary, to the nearest dollar, in the sixth year?

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

Solve. -For the geometric sequence

Solve. -Domenica invests $250 each quarter in a fixed-interest mutual fund paying annual interest of 7%compounded quarterly. How much will her account have in it at the end of 11 years?

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -12 + 6 + 3 + ...

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

Find the sum. -

Evaluate the factorial expression. -

Find the indicated term of the geometric sequence. -8th term of

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

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. -

Expand the expression using the Binomial Theorem. -

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

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