Question 1

For all the problems in this set the domain is the set of positive integers greater than 0.
Find a formula for the nth term of each sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these C

Question 2

For all the problems in this set the domain is the set of positive integers greater than 0.
-Use sigma notation to represent the partial sum of the first eight terms of the sequence

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these D

Question 3

For all the problems in this set the domain is the set of positive integers greater than 0.
-Use sigma notation to represent the partial sum of the first twelve terms of the sequence

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these C

Question 4

Evaluate the infinite geometric series.
-

Accepted Answer

A)  24 
B)  30 
C)  15 
D)  3 
E)  None of these 
A)  24 
B)  30 
C)  15 
D)  3 
E)  None of these

Question 5

Do not use Pascal's Triangle.
-Find the coefficient of the 9th term in the binomial expansion of

Accepted Answer

A)  6435 
B)  5005 
C)  1716 
D)  135 
E)  None of these 
A)  6435 
B)  5005 
C)  1716 
D)  135 
E)  None of these

Question 6

For all the problems in this set the domain is the set of positive integers greater than 0.
-Evaluate the partial sum

Accepted Answer

A)  135 
B)  75 
C)  150 
D)  70 
E)  None of these 
A)  135 
B)  75 
C)  150 
D)  70 
E)  None of these

Question 7

Use Pascal's Triangle and the binomial theorem to find the 8th term in the expansion of

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 8

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 9

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 10

For all the problems in this set the domain is the set of positive integers greater than 0.
-Evaluate the partial sum of the first four terms of the sequence

Accepted Answer

A)  12 
B)  468 
C)  72 
D)  116 
E)  None of these 
A)  12 
B)  468 
C)  72 
D)  116 
E)  None of these

Question 11

Find the common ratio, r, of the given geometric sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 12

For all the problems in this set the domain is the set of positive integers greater than 0.
Use roster notation to represent the range of the sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 13

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10.
-Find the 11th term of the sequence.

Accepted Answer

A)  100,000,000 
B)  10,000,000,000 
C)  1,000,000,010 
D)  999,999,990 
E)  None of these 
A)  100,000,000 
B)  10,000,000,000 
C)  1,000,000,010 
D)  999,999,990 
E)  None of these

Question 14

For all the problems in this set the domain is the set of positive integers.
Find a formula for the nth term of the arithmetic sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 15

Use Pascal's Triangle and the binomial theorem to find the 3rd term in the expansion of

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 16

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of the above 
A)    
B)    
C)    
D)    
E)  None of the above

Question 17

The expression   is equivalent to   . Expand this expression using Pascal's Triangle and the binomial theorem to find the sum of the terms.

Accepted Answer

A)  6.55 
B)  10.4641 
C)  1.4641 
D)  1.0001 
E)  None of these 
A)  6.55 
B)  10.4641 
C)  1.4641 
D)  1.0001 
E)  None of these

Question 18

For all the problems in this set the domain is the set of positive integers.
Find a formula for the nth term of the arithmetic sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 19

Find the common ratio, r, of the given geometric sequence.
-

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 20

For all the problems in this set the domain is the set of positive integers.
-The first row in an auditorium has 10 seats. Each successive row has 4 more seats. Use a partial sum to find the total number of seats in the first 20 rows.

Accepted Answer

A)  400 
B)  1240 
C)  960 
D)  840 
E)  None of these 
A)  400 
B)  1240 
C)  960 
D)  840 
E)  None of these

For all the problems in this set the domain is the set of positive integers greater than 0. Find a formula for the nth term of each sequence. -

For all the problems in this set the domain is the set of positive integers greater than 0. -Use sigma notation to represent the partial sum of the first eight terms of the sequence

For all the problems in this set the domain is the set of positive integers greater than 0. -Use sigma notation to represent the partial sum of the first twelve terms of the sequence

Evaluate the infinite geometric series. -

Do not use Pascal's Triangle. -Find the coefficient of the 9th term in the binomial expansion of

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum

Use Pascal's Triangle and the binomial theorem to find the 8th term in the expansion of

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum of the first four terms of the sequence

Find the common ratio, r, of the given geometric sequence. -

For all the problems in this set the domain is the set of positive integers greater than 0. Use roster notation to represent the range of the sequence. -

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10. -Find the 11th term of the sequence.

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

Use Pascal's Triangle and the binomial theorem to find the 3rd term in the expansion of

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

The expression is equivalent to . Expand this expression using Pascal's Triangle and the binomial theorem to find the sum of the terms.

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

Find the common ratio, r, of the given geometric sequence. -

For all the problems in this set the domain is the set of positive integers. -The first row in an auditorium has 10 seats. Each successive row has 4 more seats. Use a partial sum to find the total number of seats in the first 20 rows.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

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Conic Sections Systems of Non-Linear Equations

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Exam 10: Sequences, Series and the Binomial Theorem

For all the problems in this set the domain is the set of positive integers greater than 0. Find a formula for the nth term of each sequence. -

For all the problems in this set the domain is the set of positive integers greater than 0. -Use sigma notation to represent the partial sum of the first eight terms of the sequence

For all the problems in this set the domain is the set of positive integers greater than 0. -Use sigma notation to represent the partial sum of the first twelve terms of the sequence

Evaluate the infinite geometric series. -

Do not use Pascal's Triangle. -Find the coefficient of the 9th term in the binomial expansion of

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum

Use Pascal's Triangle and the binomial theorem to find the 8th term in the expansion of

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

For all the problems in this set the domain is the set of positive integers greater than 0. -Evaluate the partial sum of the first four terms of the sequence

Find the common ratio, r, of the given geometric sequence. -

For all the problems in this set the domain is the set of positive integers greater than 0. Use roster notation to represent the range of the sequence. -

The tenth term in a geometric sequence is 1,000,000,000. The common ratio is 10. -Find the 11th term of the sequence.

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

Use Pascal's Triangle and the binomial theorem to find the 3rd term in the expansion of

Expand the expression. Use Pascal's Triangle to find the coefficients and use the binomial theorem to find the variables in each term. -

The expression is equivalent to . Expand this expression using Pascal's Triangle and the binomial theorem to find the sum of the terms.

For all the problems in this set the domain is the set of positive integers. Find a formula for the nth term of the arithmetic sequence. -

Find the common ratio, r, of the given geometric sequence. -

For all the problems in this set the domain is the set of positive integers. -The first row in an auditorium has 10 seats. Each successive row has 4 more seats. Use a partial sum to find the total number of seats in the first 20 rows.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

Radical Expressions, Equations and Functions

Quadratic Expressions, Equations and Functions

Exponential and Logarithmic Expressions, Equations and Functions

Conic Sections Systems of Non-Linear Equations

Filters