Question 1

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 2

Find the next term of the sequence. 64, 125, 216, 343, ...

Accepted Answer

A) 4,096 
B) 576 
C) 515 
D) 512 
E) none of these 
A) 4,096 
B) 576 
C) 515 
D) 512 
E) none of these

Question 3

Write the first six terms of the arithmetic sequence with the given properties. a = 5, d = 2

Accepted Answer

A) 5, 7, 9, 11, 13, 15 
B) 4, 6, 8, 10, 12, 14 
C) 4, 7, 10, 13, 16, 19 
D) 5, 8, 11, 14, 17, 20 
E) 5, 8, 10, 12, 14, 16 
A) 5, 7, 9, 11, 13, 15 
B) 4, 6, 8, 10, 12, 14 
C) 4, 7, 10, 13, 16, 19 
D) 5, 8, 11, 14, 17, 20 
E) 5, 8, 10, 12, 14, 16

Question 4

Determine whether the sequence is arithmetic. If so, find the common difference. 4, 16, 64, 256, 1024

Accepted Answer

A) not arithmetic 
B)   
C) 4 
D) -4 
E)    
A) not arithmetic 
B)   
C) 4 
D) -4 
E)

Question 5

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 6

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 7

Use the Binomial Theorem to expand and simplify the expression.

Accepted Answer

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

Question 8

Find the rational number representation of the repeating decimal.

Accepted Answer

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

Question 9

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 1, 6, 11, 16, 21

Accepted Answer

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

Question 10

Find the sum of the finite geometric sequence.

Accepted Answer

A) 5824 
B)    
C)    
D)    
E)    
A) 5824 
B)    
C)    
D)    
E)

Question 11

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.)

Accepted Answer

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

Question 12

Change the decimal to a common fraction.

Accepted Answer

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

Question 13

Find a quadratic model for the sequence with the indicated terms.

Accepted Answer

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

Question 14

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 15

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 16

Find the indicated nth partial sum of the arithmetic sequence. -1.5, 1.1, 3.7, 6.3, ...., n=70

Accepted Answer

A) 6178.1 
B) -3440.5 
C) 6169.9 
D) 6356 
E) 6174 
A) 6178.1 
B) -3440.5 
C) 6169.9 
D) 6356 
E) 6174

Question 17

Evaluate the expression. P (6, 6)

Accepted Answer

A) 1,440 
B) 720 
C) 1 
D) 2 
E) none of the above 
A) 1,440 
B) 720 
C) 1 
D) 2 
E) none of the above

Question 18

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

Accepted Answer

A) s = 160 
B) s = 168 
C) s = 156 
D) s = 164 
E) s = 480 
A) s = 160 
B) s = 168 
C) s = 156 
D) s = 164 
E) s = 480

Question 19

Evaluate the sum.

Accepted Answer

A) 180 
B) 176 
C) 40 
D) 45 
E) 360 
A) 180 
B) 176 
C) 40 
D) 45 
E) 360

Question 20

Find Pk+1 for the given Pk.

Accepted Answer

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

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

Find the next term of the sequence. 64, 125, 216, 343, ...

Write the first six terms of the arithmetic sequence with the given properties. a = 5, d = 2

Determine whether the sequence is arithmetic. If so, find the common difference. 4, 16, 64, 256, 1024

Evaluate the expression.

Evaluate the expression. P (5, 3)

Use the Binomial Theorem to expand and simplify the expression.

Find the rational number representation of the repeating decimal.

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 1, 6, 11, 16, 21

Find the sum of the finite geometric sequence.

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.)

Change the decimal to a common fraction. $Change the decimal to a common fraction.$

Find a quadratic model for the sequence with the indicated terms.

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

Use the binomial theorem to expand the binomial.

Find the indicated nth partial sum of the arithmetic sequence. -1.5, 1.1, 3.7, 6.3, ...., n=70

Evaluate the expression. P (6, 6)

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

Evaluate the sum.

Find P_k₊₁ for the given P_k.

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

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

Find the next term of the sequence. 64, 125, 216, 343, ...

Write the first six terms of the arithmetic sequence with the given properties. a = 5, d = 2

Determine whether the sequence is arithmetic. If so, find the common difference. 4, 16, 64, 256, 1024

Evaluate the expression.

Evaluate the expression. P (5, 3)

Use the Binomial Theorem to expand and simplify the expression.

Find the rational number representation of the repeating decimal.

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 1, 6, 11, 16, 21

Find the sum of the finite geometric sequence.

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.)

Change the decimal to a common fraction.

Find a quadratic model for the sequence with the indicated terms.

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

Use the binomial theorem to expand the binomial.

Find the indicated nth partial sum of the arithmetic sequence. -1.5, 1.1, 3.7, 6.3, ...., n=70

Evaluate the expression. P (6, 6)

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

Evaluate the sum.

Find Pk+1 for the given Pk.

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

Change the decimal to a common fraction. $Change the decimal to a common fraction.$

Find P_k₊₁ for the given P_k.