Question 1

Find the sum of the geometric series.
-

Accepted Answer

A)    
B)    
C)  0 
D)  93 
A)    
B)    
C)  0 
D)  93

Question 2

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate.
-

Accepted Answer

A)  16 
B)  -5.3333333 
C)  272 
D)  No sum 
A)  16 
B)  -5.3333333 
C)  272 
D)  No sum

Question 3

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula.
-

Accepted Answer

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

Question 4

Find the required part of the geometric sequence.
-Find the common ratio for a geometric sequence with the second term -12 and fifth term 324.

Accepted Answer

A)  -3 
B)    
C)  3 
D)    
A)  -3 
B)    
C)  3 
D)

Question 5

Use the addition rule to solve the problem.
-One digit from the number 7,686,336 is written on each of seven cards. What is the probability of drawing a card that shows 7 or 3?

Accepted Answer

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

Question 6

Write out all the terms of the series.
-

Accepted Answer

A)    
B)    
C)  x + 2x + 3x + 4x + 5x 
D)    
A)    
B)    
C)  x + 2x + 3x + 4x + 5x 
D)

Question 7

Solve the problem.
-In an experiment on the sugar content of fruit, a researcher gathers a sample of 6 apples, 2 bananas, and 5 peaches. In how many ways can 3 pieces of fruit be randomly selected from this sample?

Accepted Answer

A)  3 
B)  1716 
C)  286 
D)  39 
A)  3 
B)  1716 
C)  286 
D)  39

Question 8

Solve the problem.
-What is the coefficient of a   in the expansion of   ?

Accepted Answer

A)  2520 
B)  288 
C)  1260 
D)  40,320 
A)  2520 
B)  288 
C)  1260 
D)  40,320

Question 9

Find the common ratio for the geometric sequence.
-4, -12, 36, -108, 324

Accepted Answer

A)  3 
B)  -3 
C)  Not geometric 
D)  -16 
A)  3 
B)  -3 
C)  Not geometric 
D)  -16

Question 10

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula.
-

Accepted Answer

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

Question 11

Find the probability of the event.
-If 7 coins are flipped, what is the probability of getting 3 or more heads?

Accepted Answer

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

Question 12

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  12,600 
B)  -362,880 
C)  362,880 
D)  -12,600 
A)  12,600 
B)  -362,880 
C)  362,880 
D)  -12,600

Question 13

Find the sum of the geometric series.
-

Accepted Answer

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

Question 14

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula.
--5, -2, 1, 4, 7, . . .

Accepted Answer

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

Question 15

Evaluate the expression.
-P(5, 2)

Accepted Answer

A)  12 
B)  20 
C)  60 
D)  10 
A)  12 
B)  20 
C)  60 
D)  10

Question 16

Solve the problem.
-How many ways can a committee of 5 be selected from a club with 10 members?

Accepted Answer

A)  30,240 
B)  100,000 
C)  252 
D)  50 
A)  30,240 
B)  100,000 
C)  252 
D)  50

Question 17

Determine if the given sequence could be an arithmetic sequence.
--5 , -9 , -13 , -17 , . . .

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 18

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  1,663,200 
B)  7 
C)  237,600 
D)  330 
A)  1,663,200 
B)  7 
C)  237,600 
D)  330

Question 19

Find the required part of the geometric sequence.
-Find the first term of a geometric sequence with seventh term   and common ratio of

Accepted Answer

A)  2 
B)    
C)  1 
D)    
A)  2 
B)    
C)  1 
D)

Question 20

Find all the terms of the finite sequence.
-

Accepted Answer

A)  -1, 0, 1, 2, 3 
B)  -1, 1, 3, 5, 7 
C)  1, -1, -3, -5, -7 
D)  5, 7, 9, 11, 13 
A)  -1, 0, 1, 2, 3 
B)  -1, 1, 3, 5, 7 
C)  1, -1, -3, -5, -7 
D)  5, 7, 9, 11, 13

Find the sum of the geometric series. -

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Find the required part of the geometric sequence. -Find the common ratio for a geometric sequence with the second term -12 and fifth term 324.

Use the addition rule to solve the problem. -One digit from the number 7,686,336 is written on each of seven cards. What is the probability of drawing a card that shows 7 or 3?

Write out all the terms of the series. -

Solve the problem. -In an experiment on the sugar content of fruit, a researcher gathers a sample of 6 apples, 2 bananas, and 5 peaches. In how many ways can 3 pieces of fruit be randomly selected from this sample?

Solve the problem. -What is the coefficient of a in the expansion of ?

Find the common ratio for the geometric sequence. -4, -12, 36, -108, 324

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Find the probability of the event. -If 7 coins are flipped, what is the probability of getting 3 or more heads?

Solve the problem. -What is the coefficient of in the expansion of

Find the sum of the geometric series. -

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula. --5, -2, 1, 4, 7, . . .

Evaluate the expression. -P(5, 2)

Solve the problem. -How many ways can a committee of 5 be selected from a club with 10 members?

Determine if the given sequence could be an arithmetic sequence. --5 , -9 , -13 , -17 , . . .

Solve the problem. -What is the coefficient of in the expansion of

Find the required part of the geometric sequence. -Find the first term of a geometric sequence with seventh term and common ratio of

Find all the terms of the finite sequence. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

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The Conic Sections

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Exam 11: Sequences, Series, and Probability

Find the sum of the geometric series. -

Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate. -

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Find the required part of the geometric sequence. -Find the common ratio for a geometric sequence with the second term -12 and fifth term 324.

Use the addition rule to solve the problem. -One digit from the number 7,686,336 is written on each of seven cards. What is the probability of drawing a card that shows 7 or 3?

Write out all the terms of the series. -

Solve the problem. -In an experiment on the sugar content of fruit, a researcher gathers a sample of 6 apples, 2 bananas, and 5 peaches. In how many ways can 3 pieces of fruit be randomly selected from this sample?

Solve the problem. -What is the coefficient of a in the expansion of ?

Find the common ratio for the geometric sequence. -4, -12, 36, -108, 324

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Find the probability of the event. -If 7 coins are flipped, what is the probability of getting 3 or more heads?

Solve the problem. -What is the coefficient of in the expansion of

Find the sum of the geometric series. -

Write a formula for the nth term of the arithmetic sequence. Do not use a recursion formula. --5, -2, 1, 4, 7, . . .

Evaluate the expression. -P(5, 2)

Solve the problem. -How many ways can a committee of 5 be selected from a club with 10 members?

Determine if the given sequence could be an arithmetic sequence. --5 , -9 , -13 , -17 , . . .

Solve the problem. -What is the coefficient of in the expansion of

Find the required part of the geometric sequence. -Find the first term of a geometric sequence with seventh term and common ratio of

Find all the terms of the finite sequence. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

Filters