Question 1

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 E

Question 2

Change the decimal to a common fraction.

Accepted Answer

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

Question 3

Use the binomial theorem to expand the binomial.

Accepted Answer

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

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

Find the sum of the finite geometric sequence.

Accepted Answer

A)    
B)    
C)  1936 
D)    
E)    
A)    
B)    
C)  1936 
D)    
E)

Question 6

Use summation notation to write the sum.

Accepted Answer

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

Question 7

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 8

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 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

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

Accepted Answer

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

Question 11

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

Accepted Answer

A)  -110 
B)  -182 
C)  390 
D)  -72 
E)  -546 
A)  -110 
B)  -182 
C)  390 
D)  -72 
E)  -546

Question 12

Find the indicated nth term of the geometric sequence. 4th term:

Accepted Answer

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

Question 13

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 14

Change the decimal to a common fraction.

Accepted Answer

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

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 Pk+1 for the given Pk.

Accepted Answer

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

Question 17

Use the Binomial Theorem to expand and simplify the expression.

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Find the sum of the infinite series.

Accepted Answer

A)  undefined 
B)    
C)  4 
D)    
E)    
A)  undefined 
B)    
C)  4 
D)    
E)

Question 20

Several logs are stored in a pile with 32 logs on the bottom layer, 31 on the second layer, 30 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?

Accepted Answer

A)  527 
B)  528 
C)  496 
D)  512 
E)  none of the above 
A)  527 
B)  528 
C)  496 
D)  512 
E)  none of the above

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

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

Use the binomial theorem to expand the binomial.

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

Find the sum of the finite geometric sequence.

Use summation notation to write the sum.

Evaluate the sum.

Find the sum of the infinite geometric sequence.

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

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

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

Find the indicated nth term of the geometric sequence. 4th term:

Evaluate the expression.

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

Use the binomial theorem to expand the binomial.

Find P_k₊₁ for the given P_k.

Use the Binomial Theorem to expand and simplify the expression.

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

Find the sum of the infinite series.

Several logs are stored in a pile with 32 logs on the bottom layer, 31 on the second layer, 30 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?

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 using the formulas for the sums of powers of integers.

Change the decimal to a common fraction.

Use the binomial theorem to expand the binomial.

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

Find the sum of the finite geometric sequence.

Use summation notation to write the sum.

Evaluate the sum.

Find the sum of the infinite geometric sequence.

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

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

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

Find the indicated nth term of the geometric sequence. 4th term:

Evaluate the expression.

Change the decimal to a common fraction.

Use the binomial theorem to expand the binomial.

Find Pk+1 for the given Pk.

Use the Binomial Theorem to expand and simplify the expression.

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

Find the sum of the infinite series.

Several logs are stored in a pile with 32 logs on the bottom layer, 31 on the second layer, 30 on the third layer, and so on. If the top layer has one log, how many logs are in the pile?

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. $Change the decimal to a common fraction.$

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

Find P_k₊₁ for the given P_k.