Question 1

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

Accepted Answer

A) -12,720 
B) -4240 
C) -810 
D) -3430 
E) 240 
A) -12,720 
B) -4240 
C) -810 
D) -3430 
E) 240

Question 2

Evaluate the sum.

Accepted Answer

A) 805 
B) 1 
C) 8 
D) 100 
E) 800 
A) 805 
B) 1 
C) 8 
D) 100 
E) 800

Question 3

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 4

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

Accepted Answer

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

Question 5

Determine whether the sequence is geometric. If so, find the common ratio. 3, -1, -5, -9,...

Accepted Answer

A) not geometric 
B) 3 
C)    
D) -4 
E) 4 
A) not geometric 
B) 3 
C)    
D) -4 
E) 4

Question 6

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

Accepted Answer

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

Question 7

Find the number of diagonals of a undecagon (11 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

Accepted Answer

A) 110 
B) 121 
C) 44 
D) 22 
E) 11 
A) 110 
B) 121 
C) 44 
D) 22 
E) 11

Question 8

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 9

Find the sum of the indicated terms of the geometric sequence. 5, 20, 80 ... (to 5 terms)

Accepted Answer

A) s = 1,705 
B) s = 1,700 
C) s = 1,710 
D) s = 1,715 
E) none of the above 
A) s = 1,705 
B) s = 1,700 
C) s = 1,710 
D) s = 1,715 
E) none of the above

Question 10

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 11

Evaluate the expression.

Accepted Answer

A) 88 
B) 1 
C) 94 
D) 93 
E) -5 
A) 88 
B) 1 
C) 94 
D) 93 
E) -5

Question 12

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 5, 8, 11, 14, 17

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

Use summation notation to write the sum.

Accepted Answer

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

Question 15

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 16

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

Accepted Answer

A) 42 
B) -36 
C) -42 
D) 48 
E) 36 
A) 42 
B) -36 
C) -42 
D) 48 
E) 36

Question 17

Accepted Answer

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

Question 18

Find the sum of the infinite geometric sequence.

Accepted Answer

A) s = 22.8 
B) s = 10.8 
C) s = 76.8 
D) s = 16.8 
E) s = 4.8 
A) s = 22.8 
B) s = 10.8 
C) s = 76.8 
D) s = 16.8 
E) s = 4.8

Question 19

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 20

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

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

Evaluate the sum.

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 arithmetic sequence with its graph from the choices below.

Determine whether the sequence is geometric. If so, find the common ratio. 3, -1, -5, -9,...

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

Find the number of diagonals of a undecagon (11 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

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.)

Find the sum of the indicated terms of the geometric sequence. 5, 20, 80 ... (to 5 terms)

Calculate the binomial coefficient:

Evaluate the expression.

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 5, 8, 11, 14, 17

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

Use summation notation to write the sum.

Find the sum of the finite geometric sequence.

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

Find the sum of the infinite geometric sequence.

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

Find the sum of the infinite 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

Algebraic Expressions and Equations

Filters

Exam 9: Sequences, Series, and Probability

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

Evaluate the sum.

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 arithmetic sequence with its graph from the choices below.

Determine whether the sequence is geometric. If so, find the common ratio. 3, -1, -5, -9,...

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

Find the number of diagonals of a undecagon (11 sides). (A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon.)

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.)

Find the sum of the indicated terms of the geometric sequence. 5, 20, 80 ... (to 5 terms)

Calculate the binomial coefficient:

Evaluate the expression.

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 5, 8, 11, 14, 17

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

Use summation notation to write the sum.

Find the sum of the finite geometric sequence.

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

Find the sum of the infinite geometric sequence.

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

Find the sum of the infinite 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

Algebraic Expressions and Equations

Filters