Question 1

Determine whether the sequence is geometric. If so, find the common ratio. -2, -7, -12, -17,...

Accepted Answer

A) -2 
B) not geometric 
C)    
D) 5 
E) -5 
A) -2 
B) not geometric 
C)    
D) 5 
E) -5

Question 2

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 3

Find the sum.

Accepted Answer

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

Question 4

Accepted Answer

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

Question 5

Write the first six terms of the sequence defined by the function. f(n) = 2n(n - 1)

Accepted Answer

A) 0, 4, 12, 24, 40, 60 
B) -4, 0, 12, 24, 40, 60 
C) 4, 12, 24, 40, 60, 168 
D) -4, -12, 24, -40, -60, 0 
E) 4, 12, 24, 40, 60, 84 
A) 0, 4, 12, 24, 40, 60 
B) -4, 0, 12, 24, 40, 60 
C) 4, 12, 24, 40, 60, 168 
D) -4, -12, 24, -40, -60, 0 
E) 4, 12, 24, 40, 60, 84

Question 6

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 7

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Accepted Answer

A) 8 
B) 6 
C) -2 
D) 2 
E) not arithmetic 
A) 8 
B) 6 
C) -2 
D) 2 
E) not arithmetic

Question 8

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 9

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

Accepted Answer

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

Question 10

Find the rational number representation of the repeating decimal.

Accepted Answer

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

Question 11

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 12

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 13

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 14

Evaluate the expression.

Accepted Answer

A) 84 
B) 83 
C) 1 
D) 79 
E) -4 
A) 84 
B) 83 
C) 1 
D) 79 
E) -4

Question 15

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Accepted Answer

A) -2 
B) -1 
C)    
D) 2 
E) not geometric 
A) -2 
B) -1 
C)    
D) 2 
E) not geometric

Question 16

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 17

Find the sum.

Accepted Answer

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

Question 18

Evaluate the sum.

Accepted Answer

A) 2 
B) 264 
C) 132 
D) 9 
E) none of these 
A) 2 
B) 264 
C) 132 
D) 9 
E) none of these

Question 19

Evaluate the expression. C (6, 2)

Accepted Answer

A) 360 
B) 720 
C) 2 
D) 30 
E) 15 
A) 360 
B) 720 
C) 2 
D) 30 
E) 15

Question 20

Determine whether the sequence is arithmetic. If so, find the common difference. 5, 25, 125, 625, 3125

Accepted Answer

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

Determine whether the sequence is geometric. If so, find the common ratio. -2, -7, -12, -17,...

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

Find the sum.

Write the first six terms of the sequence defined by the function. f(n) = 2n(n - 1)

Evaluate the sum.

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Calculate the binomial coefficient:

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

Find the rational number representation of the repeating decimal.

Use the binomial theorem to expand the binomial.

Evaluate the sum.

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

Evaluate the expression.

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Use the binomial theorem to expand the binomial.

Find the sum.

Evaluate the sum.

Evaluate the expression. C (6, 2)

Determine whether the sequence is arithmetic. If so, find the common difference. 5, 25, 125, 625, 3125

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

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Exam 9: Sequences, Series, and Probability

Determine whether the sequence is geometric. If so, find the common ratio. -2, -7, -12, -17,...

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

Find the sum.

Write the first six terms of the sequence defined by the function. f(n) = 2n(n - 1)

Evaluate the sum.

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 10, 12, 14, 16

Calculate the binomial coefficient:

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

Find the rational number representation of the repeating decimal.

Use the binomial theorem to expand the binomial.

Evaluate the sum.

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

Evaluate the expression.

Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

Use the binomial theorem to expand the binomial.

Find the sum.

Evaluate the sum.

Evaluate the expression. C (6, 2)

Determine whether the sequence is arithmetic. If so, find the common difference. 5, 25, 125, 625, 3125

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