Question 1

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

Accepted Answer

A)  s = 2,720 
B)  s = 2,736 
C)  s = 2,728 
D)  s = 10,912 
E)  s = 2,744 
A)  s = 2,720 
B)  s = 2,736 
C)  s = 2,728 
D)  s = 10,912 
E)  s = 2,744

Question 2

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 3

Find the indicated nth term of the geometric sequence.

Accepted Answer

A)  29 
B)  20,480 
C)  81,920 
D)  62,500 
E)  312,500 
A)  29 
B)  20,480 
C)  81,920 
D)  62,500 
E)  312,500

Question 4

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

Accepted Answer

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

Question 5

Find the eighth term of the geometric sequence whose second and fourth terms are -10 and -40.

Accepted Answer

A)  a 8 = -640 
B)  a 8 = -3,840 
C)  a 8 = -1,280 
D)  a 8 = -320 
E)  a 8 = -160 
A)  a 8 = -640 
B)  a 8 = -3,840 
C)  a 8 = -1,280 
D)  a 8 = -320 
E)  a 8 = -160

Question 6

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 7

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

Question 8

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 9

Find the indicated nth partial sum of the arithmetic sequence. -2.1, 2.5, 7.1, 11.7, ...., n=90

Accepted Answer

A)  -7996.5 
B)  18,241 
C)  18,648 
D)  18,227 
E)  18,234 
A)  -7996.5 
B)  18,241 
C)  18,648 
D)  18,227 
E)  18,234

Question 10

Find the sum of the infinite geometric sequence. 5 + 2.5 + 1.25 ...

Accepted Answer

A)  s = 10 
B)  s = 20 
C)  s = 2.5 
D)  s = 15 
E)  s = 5 
A)  s = 10 
B)  s = 20 
C)  s = 2.5 
D)  s = 15 
E)  s = 5

Question 11

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 12

Change the decimal to a common fraction.

Accepted Answer

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

Question 13

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

Accepted Answer

A)  -374 
B)  -1482 
C)  -120 
D)  78 
E)  -494 
A)  -374 
B)  -1482 
C)  -120 
D)  78 
E)  -494

Question 14

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 15

Evaluate the sum.

Accepted Answer

A)  8 
B)  800 
C)  1,605 
D)  1,600 
E)  2 
A)  8 
B)  800 
C)  1,605 
D)  1,600 
E)  2

Question 16

Find the rational number representation of the repeating decimal.

Accepted Answer

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

Question 17

Calculate the binomial coefficient:

Accepted Answer

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

Question 18

Find the sum of the finite geometric sequence.

Accepted Answer

A)    
B)    
C)  233,017 
D)    
E)    
A)    
B)    
C)  233,017 
D)    
E)

Question 19

Find Pk+1 for the given Pk.

Accepted Answer

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

Question 20

Find the sum of the finite geometric sequence.

Accepted Answer

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

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

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

Find the indicated nth term of the geometric sequence.

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

Find the eighth term of the geometric sequence whose second and fourth terms are -10 and -40.

Calculate the binomial coefficient:

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.)

Evaluate the expression. C (6, 2)

Find the indicated nth partial sum of the arithmetic sequence. -2.1, 2.5, 7.1, 11.7, ...., n=90

Find the sum of the infinite geometric sequence. 5 + 2.5 + 1.25 ...

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

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

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

Evaluate the sum.

Evaluate the sum.

Find the rational number representation of the repeating decimal.

Calculate the binomial coefficient:

Find the sum of the finite geometric sequence.

Find P_k₊₁ for the given P_k.

Find the sum of the finite geometric sequence.

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

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

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

Find the indicated nth term of the geometric sequence.

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

Find the eighth term of the geometric sequence whose second and fourth terms are -10 and -40.

Calculate the binomial coefficient:

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.)

Evaluate the expression. C (6, 2)

Find the indicated nth partial sum of the arithmetic sequence. -2.1, 2.5, 7.1, 11.7, ...., n=90

Find the sum of the infinite geometric sequence. 5 + 2.5 + 1.25 ...

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

Change the decimal to a common fraction.

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

Evaluate the sum.

Evaluate the sum.

Find the rational number representation of the repeating decimal.

Calculate the binomial coefficient:

Find the sum of the finite geometric sequence.

Find Pk+1 for the given Pk.

Find the sum of the finite geometric sequence.

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

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

Find P_k₊₁ for the given P_k.