Question 1

Evaluate using a graphing utility:

Accepted Answer

A)  5005 
B)  360,360 
C)  3,603,600 
D)  90 
E)  undefined 
A)  5005 
B)  360,360 
C)  3,603,600 
D)  90 
E)  undefined

Question 2

Find the next term of the sequence. 27, 64, 125, 216, ...

Accepted Answer

A)  351 
B)  2,401 
C)  343 
D)  392 
E)  none of these 
A)  351 
B)  2,401 
C)  343 
D)  392 
E)  none of these

Question 3

Calculate the binomial coefficient:

Accepted Answer

A)  68 
B)  0 
C)  1 
D)  2380 
E)  57,120 
A)  68 
B)  0 
C)  1 
D)  2380 
E)  57,120

Question 4

Determine whether the sequence is arithmetic. If so, find the common difference. 3, 1, -1, -3, -5

Accepted Answer

A)  5 
B)  -2 
C)  not arithmetic 
D)  3 
E)  2 
A)  5 
B)  -2 
C)  not arithmetic 
D)  3 
E)  2

Question 5

Calculate the binomial coefficient:

Accepted Answer

A)  7 
B)  42 
C)  0 
D)  1 
E)  5040 
A)  7 
B)  42 
C)  0 
D)  1 
E)  5040

Question 6

Find the next term of the sequence. 6, 13, 20, 27, ...

Accepted Answer

A)  44 
B)  68 
C)  34 
D)  32 
E)  41 
A)  44 
B)  68 
C)  34 
D)  32 
E)  41

Question 7

Evaluate the expression. P (4, 0)

Accepted Answer

A)  240 
B)  48 
C)  24 
D)  1 
E)  none of the above 
A)  240 
B)  48 
C)  24 
D)  1 
E)  none of the above

Question 8

Find the next term of the sequence. 5, 12, 19, 26, ...

Accepted Answer

A)  66 
B)  33 
C)  40 
D)  29 
E)  39 
A)  66 
B)  33 
C)  40 
D)  29 
E)  39

Question 9

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

Accepted Answer

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

Question 10

Find the sum using the formulas for the sums of powers of integers.

Accepted Answer

A)  -4686 
B)  -1155 
C)  -1562 
D)  198 
E)  -407 
A)  -4686 
B)  -1155 
C)  -1562 
D)  198 
E)  -407

Question 11

Find the number of diagonals of a nonagon (9 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

Accepted Answer

A)  27 
B)  18 
C)  81 
D)  9 
E)  72 
A)  27 
B)  18 
C)  81 
D)  9 
E)  72

Question 12

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

Accepted Answer

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

Question 13

Find the sum of the infinite geometric sequence.

Accepted Answer

A)  s = 40 
B)  s = 15 
C)  s = 10 
D)  s = 20 
E)  s = 25 
A)  s = 40 
B)  s = 15 
C)  s = 10 
D)  s = 20 
E)  s = 25

Question 14

Find the sum of the indicated terms of the geometric sequence. 3, 12, 48 ... (to 6 terms)

Accepted Answer

A)  s = 4,095 
B)  s = 4,098 
C)  s = 4,101 
D)  s = 4,092 
E)  none of the above 
A)  s = 4,095 
B)  s = 4,098 
C)  s = 4,101 
D)  s = 4,092 
E)  none of the above

Question 15

Calculate the binomial coefficient:

Accepted Answer

A)  20 
B)  18 
C)  120 
D)  0 
E)  1 
A)  20 
B)  18 
C)  120 
D)  0 
E)  1

Question 16

Find the indicated partial sum of the series.   fourth partial sum

Accepted Answer

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

Question 17

Find the sum of the infinite geometric sequence. 3 + 1.5 + 0.75 ...

Accepted Answer

A)  s = 3 
B)  s = 6 
C)  s = 9 
D)  s = 12 
E)  s = 1.5 
A)  s = 3 
B)  s = 6 
C)  s = 9 
D)  s = 12 
E)  s = 1.5

Question 18

Evaluate the sum.

Accepted Answer

A)  270 
B)  131 
C)  135 
D)  27 
E)  55 
A)  270 
B)  131 
C)  135 
D)  27 
E)  55

Question 19

Evaluate the sum.

Accepted Answer

A)  2 
B)  84 
C)  5 
D)  42 
E)  none of these 
A)  2 
B)  84 
C)  5 
D)  42 
E)  none of these

Question 20

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

Accepted Answer

A)  13, 18, 23, 28, 33 
B)  13, 21, 29, 37, 45 
C)  -3, 2, 12, 12, 17 
D)  13, 10, 15, 20, 25 
E)  8, 13, 18, 23, 28 
A)  13, 18, 23, 28, 33 
B)  13, 21, 29, 37, 45 
C)  -3, 2, 12, 12, 17 
D)  13, 10, 15, 20, 25 
E)  8, 13, 18, 23, 28

Evaluate using a graphing utility:

Find the next term of the sequence. 27, 64, 125, 216, ...

Calculate the binomial coefficient:

Determine whether the sequence is arithmetic. If so, find the common difference. 3, 1, -1, -3, -5

Calculate the binomial coefficient:

Find the next term of the sequence. 6, 13, 20, 27, ...

Evaluate the expression. P (4, 0)

Find the next term of the sequence. 5, 12, 19, 26, ...

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

Find the sum using the formulas for the sums of powers of integers.

Find the number of diagonals of a nonagon (9 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

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

Find the sum of the infinite geometric sequence.

Find the sum of the indicated terms of the geometric sequence. 3, 12, 48 ... (to 6 terms)

Calculate the binomial coefficient:

Find the indicated partial sum of the series. fourth partial sum

Find the sum of the infinite geometric sequence. 3 + 1.5 + 0.75 ...

Evaluate the sum.

Evaluate the sum.

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

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

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Exam 9: Sequences, Series, and Probability

Evaluate using a graphing utility:

Find the next term of the sequence. 27, 64, 125, 216, ...

Calculate the binomial coefficient:

Determine whether the sequence is arithmetic. If so, find the common difference. 3, 1, -1, -3, -5

Calculate the binomial coefficient:

Find the next term of the sequence. 6, 13, 20, 27, ...

Evaluate the expression. P (4, 0)

Find the next term of the sequence. 5, 12, 19, 26, ...

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

Find the sum using the formulas for the sums of powers of integers.

Find the number of diagonals of a nonagon (9 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

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

Find the sum of the infinite geometric sequence.

Find the sum of the indicated terms of the geometric sequence. 3, 12, 48 ... (to 6 terms)

Calculate the binomial coefficient:

Find the indicated partial sum of the series. fourth partial sum

Find the sum of the infinite geometric sequence. 3 + 1.5 + 0.75 ...

Evaluate the sum.

Evaluate the sum.

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

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