Question 1

What is the probability that of six children at least one is a girl?

Accepted Answer

A)  0.1875 
B)  0.984375 
C)  0.015625 
D)  0.09375 
A)  0.1875 
B)  0.984375 
C)  0.015625 
D)  0.09375 B

Question 2

Use the formula for   to evaluate   .

Accepted Answer

6,720

Question 3

Find the term   of the sequence   =   .

Accepted Answer

The answer of Find the term   of the...

Question 4

Find the common ratio of the geometric sequence   ,   ,   ,   ,   , ...

Accepted Answer

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

Question 5

Find the sum of the infinite geometric series   .

Accepted Answer

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

Question 6

Expand the binomial coefficient.

Accepted Answer

The answer of Expand the binomial coefficient.  ...

Question 7

Use the formula for   to evaluate   .

Accepted Answer

A)  30,240 
B)  252 
C)  50 
D)  90 
A)  30,240 
B)  252 
C)  50 
D)  90

Question 8

Find the term   of the sequence   =   .

Accepted Answer

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

Question 9

Dylan sells his car freshman year and puts $3100 in an account that earns 6.2% interest compounded monthly. The balance in the account after n months

Accepted Answer

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

Question 10

Find the common ratio of the geometric sequence 6, 12, 24, 48, 96, ...

Accepted Answer

A)  r = -2 
B)  r = 6 
C)  r = 2 
D)  r = -6 
A)  r = -2 
B)  r = 6 
C)  r = 2 
D)  r = -6

Question 11

Prove the statement using mathematical induction for all positive integers, n.(1 ● 2) + (2 ● 3) + (3 ● 4) + ... + n(n + 1) =

Accepted Answer

The answer of Prove the statement using mathematical induction for...

Question 12

Use the formula for   to evaluate   .

Accepted Answer

A)  0 
B)  1 
C)  17 
D)  33 
A)  0 
B)  1 
C)  17 
D)  33

Question 13

Evaluate the binomial coefficient   .

Accepted Answer

The answer of Evaluate the binomial coefficient   ....

Question 14

Find the general, or   , term of the sequence given   = -10 and

Accepted Answer

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

Question 15

Use the formula for   to evaluate   .

Accepted Answer

A)  0 
B)  1 
C)  10 
D)  9 
A)  0 
B)  1 
C)  10 
D)  9

Question 16

At Marcello's Pizza restaurant, there are 5 types of crust, 2 types of cheese, and 10 types of toppings to choose from. How many different pizzas can be made from one type of crust, one type of cheese, and one topping?

Accepted Answer

A)  17 
B)  100 
C)  252 
D)  45 
A)  17 
B)  100 
C)  252 
D)  45

Question 17

Use the formula for   to evaluate   .

Accepted Answer

A)  4536 
B)  3024 
C)  36 
D)  126 
A)  4536 
B)  3024 
C)  36 
D)  126

Question 18

Evaluate the finite series.

Accepted Answer

The answer of Evaluate the finite series.  ...

Question 19

Write the first four terms of the following sequence. Assume that n starts at 1.=

Accepted Answer

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

Question 20

Find the sum of the finite geometric series   .

Accepted Answer

A)  15.0 
B)  4.7 
C)  -0.8 
D)  12.5 
A)  15.0 
B)  4.7 
C)  -0.8 
D)  12.5

What is the probability that of six children at least one is a girl?

Use the formula for to evaluate .

Find the term of the sequence = .

Find the common ratio of the geometric sequence , , , , , ...

Find the sum of the infinite geometric series .

Expand the binomial coefficient.

Use the formula for to evaluate .

Find the term of the sequence = .

Dylan sells his car freshman year and puts $3100 in an account that earns 6.2% interest compounded monthly. The balance in the account after n months

Find the common ratio of the geometric sequence 6, 12, 24, 48, 96, ...

Prove the statement using mathematical induction for all positive integers, n.(1 ● 2) + (2 ● 3) + (3 ● 4) + ... + n(n + 1) =

Use the formula for to evaluate .

Evaluate the binomial coefficient .

Find the general, or , term of the sequence given = -10 and

Use the formula for to evaluate .

At Marcello's Pizza restaurant, there are 5 types of crust, 2 types of cheese, and 10 types of toppings to choose from. How many different pizzas can be made from one type of crust, one type of cheese, and one topping?

Use the formula for to evaluate .

Evaluate the finite series.

Write the first four terms of the following sequence. Assume that n starts at 1.=

Find the sum of the finite geometric series .

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Exam 9: Sequences, Series, and Probability

What is the probability that of six children at least one is a girl?

Use the formula for to evaluate .

Find the term of the sequence = .

Find the common ratio of the geometric sequence , , , , , ...

Find the sum of the infinite geometric series .

Expand the binomial coefficient.

Use the formula for to evaluate .

Find the term of the sequence = .

Dylan sells his car freshman year and puts $3100 in an account that earns 6.2% interest compounded monthly. The balance in the account after n months

Find the common ratio of the geometric sequence 6, 12, 24, 48, 96, ...

Prove the statement using mathematical induction for all positive integers, n.(1 ● 2) + (2 ● 3) + (3 ● 4) + ... + n(n + 1) =

Use the formula for to evaluate .

Evaluate the binomial coefficient .

Find the general, or , term of the sequence given = -10 and

Use the formula for to evaluate .

At Marcello's Pizza restaurant, there are 5 types of crust, 2 types of cheese, and 10 types of toppings to choose from. How many different pizzas can be made from one type of crust, one type of cheese, and one topping?

Use the formula for to evaluate .

Evaluate the finite series.

Write the first four terms of the following sequence. Assume that n starts at 1.=

Find the sum of the finite geometric series .

Equations and Inequalities

Graphs

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Filters