Question 1

The seventh term of a geometric sequence is   . The common ratio is   .
-Find the eighth term of the sequence.

Accepted Answer

A)  729 
B)  - 2187 
C)  -729 
D)  2187 
E)  None of these 
A)  729 
B)  - 2187 
C)  -729 
D)  2187 
E)  None of these

Question 2

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)  60 
B)  126 
C)  90 
D)  100 
E)  None of these 
A)  60 
B)  126 
C)  90 
D)  100 
E)  None of these

Question 3

Accepted Answer

A)  120 
B)  0 
C)  1 
D)  undefined 
E)  None of these 
A)  120 
B)  0 
C)  1 
D)  undefined 
E)  None of these

Question 4

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 5

For all the problems in this set the domain is the set of positive integers.
 Each of the sequences is arithmetic. Find the formula for the nth term.
-The 12th term is 156. The common difference is 12.

Accepted Answer

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

Question 6

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 7

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

Accepted Answer

A)  253 
B)  251 
C)  252 
D)  20 
E)  None of these 
A)  253 
B)  251 
C)  252 
D)  20 
E)  None of these

Question 8

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

Question 9

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

Question 10

The seventh term of a geometric sequence is   . The common ratio is   .
-Find a formula for the nth term of the sequence.

Accepted Answer

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

Question 11

For all the problems in this set the domain is the set of positive integers.
-Find the common difference, d, of the arithmetic sequence  )

Accepted Answer

A)  3 
B)  4 
C)  -3 
D)  5 
E)  None of these 
A)  3 
B)  4 
C)  -3 
D)  5 
E)  None of these

Question 12

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

Question 13

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 ten terms of the sequence

Accepted Answer

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

Question 14

Evaluate the partial sum of the geometric series.
- ; five terms

Accepted Answer

A)    
B)  30 
C)    
D)    
E)  None of these 
A)    
B)  30 
C)    
D)    
E)  None of these

Question 15

For all the problems in this set the domain is the set of positive integers.
Evaluate the partial sum of the given number of terms of the arithmetic sequence.
-Evaluate the sum of the first 50 integers greater than zero.

Accepted Answer

A)  1275 
B)  1300 
C)  1375 
D)  1250 
E)  None of these 
A)  1275 
B)  1300 
C)  1375 
D)  1250 
E)  None of these

Question 16

For all the problems in this set the domain is the set of positive integers.
-The bottom row of a stack of cans contains 35 cans. Each layer contains one fewer can than the layer below it. The top row has 1 can. How many cans are in the stack?

Accepted Answer

A)  630 
B)  612 
C)  595 
D)  578 
E)  None of these 
A)  630 
B)  612 
C)  595 
D)  578 
E)  None of these

Question 17

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 18

Do not use Pascal's Triangle.
-Evaluate:

Accepted Answer

A)  20 
B)  110 
C)  40 
D)  55 
E)  None of these 
A)  20 
B)  110 
C)  40 
D)  55 
E)  None of these

Question 19

Evaluate the infinite geometric series.
-

Accepted Answer

A)  1000 
B)  500 
C)  250 
D)  100 
E)  None of these 
A)  1000 
B)  500 
C)  250 
D)  100 
E)  None of these

Question 20

For all the problems in this set the domain is the set of positive integers.
Evaluate the partial sum of the given number of terms of the arithmetic sequence.
- ; the first 40 terms.

Accepted Answer

A)  7200 
B)  7800 
C)  8800 
D)  7000 
E)  None of these 
A)  7200 
B)  7800 
C)  8800 
D)  7000 
E)  None of these

The seventh term of a geometric sequence is . The common ratio is . -Find the eighth term of the sequence.

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

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. -

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 12th term is 156. The common difference is 12.

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. -

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

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. Find a formula for the nth term of each sequence. -

The seventh term of a geometric sequence is . The common ratio is . -Find a formula for the nth term of the sequence.

For all the problems in this set the domain is the set of positive integers. -Find the common difference, d, of the arithmetic sequence )

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 ten terms of the sequence

Evaluate the partial sum of the geometric series. -; five terms

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -Evaluate the sum of the first 50 integers greater than zero.

For all the problems in this set the domain is the set of positive integers. -The bottom row of a stack of cans contains 35 cans. Each layer contains one fewer can than the layer below it. The top row has 1 can. How many cans are in the stack?

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

Do not use Pascal's Triangle. -Evaluate:

Evaluate the infinite geometric series. -

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -; the first 40 terms.

Fundamentals of Algebra

Polynomials and Absolute Value

Relations and Functions

Systems of Linear Equations

Rational Expressions, Equations and Functions

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Exam 10: Sequences, Series and the Binomial Theorem

The seventh term of a geometric sequence is . The common ratio is . -Find the eighth term of the sequence.

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

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. -

For all the problems in this set the domain is the set of positive integers. Each of the sequences is arithmetic. Find the formula for the nth term. -The 12th term is 156. The common difference is 12.

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. -

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

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. Find a formula for the nth term of each sequence. -

The seventh term of a geometric sequence is . The common ratio is . -Find a formula for the nth term of the sequence.

For all the problems in this set the domain is the set of positive integers. -Find the common difference, d, of the arithmetic sequence )

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 ten terms of the sequence

Evaluate the partial sum of the geometric series. -; five terms

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -Evaluate the sum of the first 50 integers greater than zero.

For all the problems in this set the domain is the set of positive integers. -The bottom row of a stack of cans contains 35 cans. Each layer contains one fewer can than the layer below it. The top row has 1 can. How many cans are in the stack?

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

Do not use Pascal's Triangle. -Evaluate:

Evaluate the infinite geometric series. -

For all the problems in this set the domain is the set of positive integers. Evaluate the partial sum of the given number of terms of the arithmetic sequence. -; the first 40 terms.

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