Question 1

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

Accepted Answer

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

Question 2

Calculate the binomial coefficient:

Accepted Answer

A) 1 
B) 35 
C) 0 
D) 21 
E) 210 
A) 1 
B) 35 
C) 0 
D) 21 
E) 210

Question 3

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 4

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

Accepted Answer

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

Question 5

Evaluate using a graphing utility:

Accepted Answer

A) 3003 
B) 32,760 
C) undefined 
D) 75 
E) 360,360 
A) 3003 
B) 32,760 
C) undefined 
D) 75 
E) 360,360

Question 6

Find Pk+1 for the given Pk.

Accepted Answer

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

Question 7

Find the indicated nth term of the geometric sequence.

Accepted Answer

A) -327,680 
B) -81,920 
C) 1,562,500 
D) 23 
E) -312,500 
A) -327,680 
B) -81,920 
C) 1,562,500 
D) 23 
E) -312,500

Question 8

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 9

Find the next term of the sequence. 4, 11, 18, 25, ...

Accepted Answer

A) 64 
B) 28 
C) 32 
D) 39 
E) 35 
A) 64 
B) 28 
C) 32 
D) 39 
E) 35

Question 10

Find the sum of the indicated terms of the geometric sequence.

Accepted Answer

A) s = 680 
B) s = 688 
C) s = 672 
D) s = 696 
E) s = 2,720 
A) s = 680 
B) s = 688 
C) s = 672 
D) s = 696 
E) s = 2,720

Question 11

Calculate the binomial coefficient:

Accepted Answer

A) 120 
B) 20 
C) 5 
D) 1 
E) 0 
A) 120 
B) 20 
C) 5 
D) 1 
E) 0

Question 12

The probability that a basketball player will make a given free throw is   . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term   in the expansion of   . Round to four decimal places.

Accepted Answer

A) 0.0016 
B) 0.0605 
C) 0.0010 
D) 0.0403 
E) 0.1008 
A) 0.0016 
B) 0.0605 
C) 0.0010 
D) 0.0403 
E) 0.1008

Question 13

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

Accepted Answer

A) -50 
B) -76 
C) -46 
D) -64 
E) -70 
A) -50 
B) -76 
C) -46 
D) -64 
E) -70

Question 14

Evaluate the sum.

Accepted Answer

A) 54 
B) 6 
C) 3 
D) 108 
E) none of these 
A) 54 
B) 6 
C) 3 
D) 108 
E) none of these

Question 15

Find the sum of the infinite geometric sequence.

Accepted Answer

A) s = 56 
B) s = 28 
C) s = 14 
D) s = 21 
E) s = 35 
A) s = 56 
B) s = 28 
C) s = 14 
D) s = 21 
E) s = 35

Question 16

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

Accepted Answer

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

Question 17

Evaluate the expression. C (7, 2)

Accepted Answer

A) 2 
B) 42 
C) 2,520 
D) 5,040 
E) 21 
A) 2 
B) 42 
C) 2,520 
D) 5,040 
E) 21

Question 18

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 19

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 9, 12, 15, 18, 21

Accepted Answer

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

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

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

Calculate the binomial coefficient:

Find the indicated nth term of the geometric sequence.

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

Evaluate using a graphing utility:

Find P_k₊₁ for the given P_k.

Find the indicated nth term of the geometric sequence.

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

Find the next term of the sequence. 4, 11, 18, 25, ...

Find the sum of the indicated terms of the geometric sequence.

Calculate the binomial coefficient:

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

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

Evaluate the sum.

Find the sum of the infinite geometric sequence.

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

Evaluate the expression. C (7, 2)

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

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 9, 12, 15, 18, 21

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

Algebraic Expressions and Equations

Filters

Exam 9: Sequences, Series, and Probability

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

Calculate the binomial coefficient:

Find the indicated nth term of the geometric sequence.

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

Evaluate using a graphing utility:

Find Pk+1 for the given Pk.

Find the indicated nth term of the geometric sequence.

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

Find the next term of the sequence. 4, 11, 18, 25, ...

Find the sum of the indicated terms of the geometric sequence.

Calculate the binomial coefficient:

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

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

Evaluate the sum.

Find the sum of the infinite geometric sequence.

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

Evaluate the expression. C (7, 2)

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

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 9, 12, 15, 18, 21

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

Algebraic Expressions and Equations

Filters

Find P_k₊₁ for the given P_k.