Question 1

Evaluate the expression. P (5, 3)

Accepted Answer

A)  12 
B)  2 
C)  60 
D)  240 
E)  none of the above 
A)  12 
B)  2 
C)  60 
D)  240 
E)  none of the above

Question 2

Accepted Answer

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

Question 3

Calculate the binomial coefficient:

Accepted Answer

A)  1 
B)  126 
C)  45 
D)  15,120 
E)  0 
A)  1 
B)  126 
C)  45 
D)  15,120 
E)  0

Question 4

Find the indicated nth term of the geometric sequence.

Accepted Answer

A)  972 
B)  3072 
C)  12,288 
D)  2916 
E)  23 
A)  972 
B)  3072 
C)  12,288 
D)  2916 
E)  23

Question 5

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 6

The first two terms of the arithmetic sequence are given. Find the indicated term.

Accepted Answer

A)  -37 
B)  -31 
C)  -25 
D)  19 
E)  24 
A)  -37 
B)  -31 
C)  -25 
D)  19 
E)  24

Question 7

Write the first five terms of the sequence. (Assume that n begins with 1.)

Accepted Answer

A)  4, 9, 14, 19, 24 
B)  1, 6, 16, 16, 21 
C)  9, 13, 17, 21, 25 
D)  9, 10, 15, 20, 25 
E)  9, 14, 19, 24, 29 
A)  4, 9, 14, 19, 24 
B)  1, 6, 16, 16, 21 
C)  9, 13, 17, 21, 25 
D)  9, 10, 15, 20, 25 
E)  9, 14, 19, 24, 29

Question 8

Find the next term of the sequence. 8, 27, 64, 125, ...

Accepted Answer

A)  216 
B)  1,296 
C)  224 
D)  252 
E)  none of these 
A)  216 
B)  1,296 
C)  224 
D)  252 
E)  none of these

Question 9

Match the arithmetic sequence with its graph from the choices below.

Accepted Answer

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

Question 10

Match the arithmetic sequence with its graph from the choices below.

Accepted Answer

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

Question 11

Evaluate the expression. C (9, 5)

Accepted Answer

A)  362,880 
B)  3,024 
C)  126 
D)  15,120 
E)  120 
A)  362,880 
B)  3,024 
C)  126 
D)  15,120 
E)  120

Question 12

Evaluate the expression.

Accepted Answer

A)  74 
B)  1 
C)  81 
D)  80 
E)  -6 
A)  74 
B)  1 
C)  81 
D)  80 
E)  -6

Question 13

Evaluate the sum.

Accepted Answer

A)  120 
B)  20 
C)  21 
D)  60 
E)  56 
A)  120 
B)  20 
C)  21 
D)  60 
E)  56

Question 14

Evaluate the sum.

Accepted Answer

A)  805 
B)  1 
C)  8 
D)  100 
E)  800 
A)  805 
B)  1 
C)  8 
D)  100 
E)  800

Question 15

The first two terms of the arithmetic sequence are given. Find the indicated term.

Accepted Answer

A)  42 
B)  -36 
C)  -42 
D)  48 
E)  36 
A)  42 
B)  -36 
C)  -42 
D)  48 
E)  36

Question 16

Find the sum.

Accepted Answer

A)    
B)    
C)  1 
D)    
E)    
A)    
B)    
C)  1 
D)    
E)

Question 17

Find the indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Accepted Answer

A)  419 
B)  647 
C)  589 
D)  590 
E)  588 
A)  419 
B)  647 
C)  589 
D)  590 
E)  588

Question 18

Find the indicated nth term of the geometric sequence. 6th term:

Accepted Answer

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

Question 19

Find the sum of the infinite geometric sequence.

Accepted Answer

A)  s = 22.8 
B)  s = 10.8 
C)  s = 76.8 
D)  s = 16.8 
E)  s = 4.8 
A)  s = 22.8 
B)  s = 10.8 
C)  s = 76.8 
D)  s = 16.8 
E)  s = 4.8

Question 20

Find the sum.

Accepted Answer

A)  1 
B)    
C)    
D)    
E)    
A)  1 
B)    
C)    
D)    
E)

Evaluate the expression. P (5, 3)

Calculate the binomial coefficient:

Find the indicated nth term of the geometric sequence.

Use the binomial theorem to expand the binomial.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Write the first five terms of the sequence. (Assume that n begins with 1.)

Find the next term of the sequence. 8, 27, 64, 125, ...

Match the arithmetic sequence with its graph from the choices below.

Match the arithmetic sequence with its graph from the choices below.

Evaluate the expression. C (9, 5)

Evaluate the expression.

Evaluate the sum.

Evaluate the sum.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Find the sum.

Find the indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Find the indicated nth term of the geometric sequence. 6th term:

Find the sum of the infinite geometric sequence.

Find the sum.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Topics in Analytic Geometry

Prerequisites

Filters

Exam 9: Sequences, Series, and Probability

Evaluate the expression. P (5, 3)

Calculate the binomial coefficient:

Find the indicated nth term of the geometric sequence.

Use the binomial theorem to expand the binomial.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Write the first five terms of the sequence. (Assume that n begins with 1.)

Find the next term of the sequence. 8, 27, 64, 125, ...

Match the arithmetic sequence with its graph from the choices below.

Match the arithmetic sequence with its graph from the choices below.

Evaluate the expression. C (9, 5)

Evaluate the expression.

Evaluate the sum.

Evaluate the sum.

The first two terms of the arithmetic sequence are given. Find the indicated term.

Find the sum.

Find the indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Find the indicated nth term of the geometric sequence. 6th term:

Find the sum of the infinite geometric sequence.

Find the sum.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Topics in Analytic Geometry

Prerequisites

Filters