Question 1

Find the indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Accepted Answer

A) 419 
B) 647 
C) 589 
D) 590 
E) 588 
A) 419 
B) 647 
C) 589 
D) 590 
E) 588

Question 2

Find the sum of the infinite series.

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Find the rational number representation of the repeating decimal.

Accepted Answer

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

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 7

Find Pk+1 for the given Pk.

Accepted Answer

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

Question 8

Use the Binomial Theorem to expand and simplify the expression.

Accepted Answer

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

Question 9

Write the first six terms of the arithmetic sequence with the given properties. a = 1, d = 5

Accepted Answer

A) 3, 8, 13, 18, 23, 28 
B) 1, 7, 12, 17, 22, 27 
C) 3, 7, 11, 15, 19, 23 
D) 1, 6, 11, 16, 21, 26 
E) 1, 5, 9, 13, 17, 21 
A) 3, 8, 13, 18, 23, 28 
B) 1, 7, 12, 17, 22, 27 
C) 3, 7, 11, 15, 19, 23 
D) 1, 6, 11, 16, 21, 26 
E) 1, 5, 9, 13, 17, 21

Question 10

Find the eighth term of the geometric sequence whose second and fourth terms are 4 and 16.

Accepted Answer

A) a 8 = 1,536 
B) a 8 = 512 
C) a 8 = 64 
D) a 8 = 128 
E) a 8 = 256 
A) a 8 = 1,536 
B) a 8 = 512 
C) a 8 = 64 
D) a 8 = 128 
E) a 8 = 256

Question 11

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

Accepted Answer

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

Question 12

Write the first six terms of the arithmetic sequence with the given properties. a = 3, d = 2

Accepted Answer

A) 2, 4, 6, 8, 10, 12 
B) 3, 5, 7, 9, 11, 13 
C) 3, 8, 13, 18, 23, 28 
D) 2, 7, 12, 17, 22, 27 
E) 3, 6, 8, 10, 12, 14 
A) 2, 4, 6, 8, 10, 12 
B) 3, 5, 7, 9, 11, 13 
C) 3, 8, 13, 18, 23, 28 
D) 2, 7, 12, 17, 22, 27 
E) 3, 6, 8, 10, 12, 14

Question 13

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 14

Find the sum of the indicated terms of the geometric sequence. 2, 4, 8 ... (to 8 terms)

Accepted Answer

A) s = 512 
B) s = 514 
C) s = 510 
D) s = 508 
E) none of the above 
A) s = 512 
B) s = 514 
C) s = 510 
D) s = 508 
E) none of the above

Question 15

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 16

Use the binomial theorem to expand the binomial.

Accepted Answer

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

Question 17

Calculate the binomial coefficient:

Accepted Answer

A) 20 
B) 18 
C) 120 
D) 0 
E) 1 
A) 20 
B) 18 
C) 120 
D) 0 
E) 1

Question 18

Evaluate the expression. P (4, 0)

Accepted Answer

A) 240 
B) 48 
C) 24 
D) 1 
E) none of the above 
A) 240 
B) 48 
C) 24 
D) 1 
E) none of the above

Question 19

The probability that a basketball player will make a given free throw is   . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term   in the expansion of   . Round to four decimal places.

Accepted Answer

A) 0.0403 
B) 0.0016 
C) 0.0605 
D) 0.0010 
E) 0.1008 
A) 0.0403 
B) 0.0016 
C) 0.0605 
D) 0.0010 
E) 0.1008

Question 20

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 13, 18, 23, 28

Accepted Answer

A) 3 
B) 5 
C) 8 
D) -5 
E) not arithmetic 
A) 3 
B) 5 
C) 8 
D) -5 
E) not arithmetic

Find the indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Find the sum of the infinite series.

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

Find the rational number representation of the repeating decimal.

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.)

Find P_k₊₁ for the given P_k.

Use the Binomial Theorem to expand and simplify the expression.

Write the first six terms of the arithmetic sequence with the given properties. a = 1, d = 5

Find the eighth term of the geometric sequence whose second and fourth terms are 4 and 16.

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

Write the first six terms of the arithmetic sequence with the given properties. a = 3, d = 2

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

Find the sum of the indicated terms of the geometric sequence. 2, 4, 8 ... (to 8 terms)

Calculate the binomial coefficient:

Use the binomial theorem to expand the binomial.

Calculate the binomial coefficient:

Evaluate the expression. P (4, 0)

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 13, 18, 23, 28

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 indicated nth partial sum of the arithmetic sequence. 1.9, 4.8, 7.7, 10.6, ...., n=20

Find the sum of the infinite series.

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

Find the rational number representation of the repeating decimal.

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.)

Find Pk+1 for the given Pk.

Use the Binomial Theorem to expand and simplify the expression.

Write the first six terms of the arithmetic sequence with the given properties. a = 1, d = 5

Find the eighth term of the geometric sequence whose second and fourth terms are 4 and 16.

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

Write the first six terms of the arithmetic sequence with the given properties. a = 3, d = 2

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

Find the sum of the indicated terms of the geometric sequence. 2, 4, 8 ... (to 8 terms)

Calculate the binomial coefficient:

Use the binomial theorem to expand the binomial.

Calculate the binomial coefficient:

Evaluate the expression. P (4, 0)

The probability that a basketball player will make a given free throw is . To find the probability that the player makes exactly 9 out of her next 10 free throws, evaluate the term in the expansion of . Round to four decimal places.

Determine whether the sequence is arithmetic. If so, find the common difference. 8, 13, 18, 23, 28

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

Find P_k₊₁ for the given P_k.