Question 1

Find the first five terms of the recursive sequence.

Accepted Answer

The answer of Find the first five terms of the...

Question 2

Use the following to answer questions :
A geometric sequence has terms aS1U1B13S1U1B0 = 576 and aS1U1B16S1U1B0 = 243.
-Find the value of a1.

Accepted Answer

A)  256 
B)  1024 
C)  3072 
D)  4096 
A)  256 
B)  1024 
C)  3072 
D)  4096

Question 3

Use the following to answer questions :
A game is played using a spinner like the one shown.  
-For each spin, what is the probability your spin is greater than 3?

Accepted Answer

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

Question 4

Use the following to answer questions :
A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
-How long will it take for the number of bacteria to reach 245,760?

Accepted Answer

A)  5.5 hours 
B)  6 hours 
C)  6.5 hours 
D)  7 hours 
A)  5.5 hours 
B)  6 hours 
C)  6.5 hours 
D)  7 hours

Question 5

(a) Identify the first term a1 of the geometric sequence.
(b) Identify the common ratio r.
(c) Write an expression for the nth term an = a1rn-1.
(d) Use the expression for the nth term to find the 10th term.

Accepted Answer

(a) a₁ = @#IMG-DLM& (

Question 6

Determine if the sequence given is geometric. If yes, name the common ratio. 9, 4, -1, -6, -11, . . .

Accepted Answer

A)  geometric; r = -5 
B)  geometric; r = 5 
C)  geometric; r = 9 
D)  not geometric 
A)  geometric; r = -5 
B)  geometric; r = 5 
C)  geometric; r = 9 
D)  not geometric

Question 7

A club must elect a president, vice-president, and treasurer. In how many ways can the positions be filled if the club has 12 members?

Accepted Answer

A)  36 
B)  220 
C)  1320 
D)  1728 
A)  36 
B)  220 
C)  1320 
D)  1728

Question 8

A coin is flipped three times. Draw a tree diagram illustrating all possible outcomes. How many elements are in the sample space?

Accepted Answer

@#IMG-DLM& There are

Question 9

Use the following to answer questions :
A box contains five blue, eight green, and three yellow marbles.
-What is the probability the first marble you draw out is yellow?

Accepted Answer

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

Question 10

Determine whether the infinite geometric series has a finite sum. If so, find the limiting value. 112 + 56 + 28 + . . .

Accepted Answer

A)  S∞ = 224 
B)  S∞ = -224 
C)  S∞ = 56 
D)  no finite sum 
A)  S∞ = 224 
B)  S∞ = -224 
C)  S∞ = 56 
D)  no finite sum

Question 11

Find the common difference d and the value of a1 given a5 = -24, and a16 = -123.

Accepted Answer

Question 12

Two dice are rolled. What is the probability of a sum greater than 8?

Accepted Answer

A)    
B)    
C)    
D)  0 
A)    
B)    
C)    
D)  0

Question 13

Use the following to answer questions :
In a class of 20 students, there are 12 girls and 8 boys. Three students are randomly selected to be teacher's assistants.
-What is the probability that the group consists of all girls? Round your answer to four decimal places.

Accepted Answer

The answer of Use the following to answer questions :
In...

Question 14

Write the first four terms of the arithmetic sequence with the given first term and common difference. a1 = 10, d = -2

Accepted Answer

A)  -2, -12, -22, -32 
B)  -2, 8, 18, 28 
C)  10, 12, 14, 16 
D)  10, 8, 6, 4 
A)  -2, -12, -22, -32 
B)  -2, 8, 18, 28 
C)  10, 12, 14, 16 
D)  10, 8, 6, 4

Question 15

Find the value of 9C4 either using   (r factors of n! over r!) or using   .

Accepted Answer

A)  126 
B)  3024 
C)  36 
D)  1 
A)  126 
B)  3024 
C)  36 
D)  1

Question 16

Use the following to answer questions :
A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
-What is the population after 5 hours?

Accepted Answer

A)  100 
B)  200 
C)  640 
D)  20,480 
A)  100 
B)  200 
C)  640 
D)  20,480

Question 17

One card is drawn from a standard deck of 52 cards. What is the probability of drawing a jack?

Accepted Answer

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

Question 18

Find the indicated term for the sequence. an =   ; a19.

Accepted Answer

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

Question 19

For the given general term an, write the sum S7 using sigma notation.
an = n + 9

Accepted Answer

Question 20

Find the sum S11 for a geometric sequence with a1 = 9 and r = -2.

Accepted Answer

Find the first five terms of the recursive sequence.

Use the following to answer questions : A geometric sequence has terms a₃ = 576 and a₆ = 243. -Find the value of a₁.

Use the following to answer questions : A game is played using a spinner like the one shown. -For each spin, what is the probability your spin is greater than 3?

Use the following to answer questions : A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria. -How long will it take for the number of bacteria to reach 245,760?

(a) Identify the first term a₁ of the geometric sequence. (b) Identify the common ratio r. (c) Write an expression for the nth term a_n = a₁rⁿ^-1. (d) Use the expression for the nth term to find the 10th term.

Determine if the sequence given is geometric. If yes, name the common ratio. 9, 4, -1, -6, -11, . . .

A club must elect a president, vice-president, and treasurer. In how many ways can the positions be filled if the club has 12 members?

A coin is flipped three times. Draw a tree diagram illustrating all possible outcomes. How many elements are in the sample space?

Use the following to answer questions : A box contains five blue, eight green, and three yellow marbles. -What is the probability the first marble you draw out is yellow?

Determine whether the infinite geometric series has a finite sum. If so, find the limiting value. 112 + 56 + 28 + . . .

Find the common difference d and the value of a₁ given a₅ = -24, and a₁₆ = -123.

Two dice are rolled. What is the probability of a sum greater than 8?

Use the following to answer questions : In a class of 20 students, there are 12 girls and 8 boys. Three students are randomly selected to be teacher's assistants. -What is the probability that the group consists of all girls? Round your answer to four decimal places.

Write the first four terms of the arithmetic sequence with the given first term and common difference. a₁ = 10, d = -2

Find the value of ₉C₄ either using (r factors of n! over r!) or using .

Use the following to answer questions : A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria. -What is the population after 5 hours?

One card is drawn from a standard deck of 52 cards. What is the probability of drawing a jack?

Find the indicated term for the sequence. a_n = ; a₁₉.

For the given general term a_n, write the sum S₇ using sigma notation. a_n = n + 9

Find the sum S₁₁ for a geometric sequence with a₁ = 9 and r = -2.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 10: Additional Topics in Algebra

Find the first five terms of the recursive sequence.

Use the following to answer questions : A geometric sequence has terms a3 = 576 and a6 = 243. -Find the value of a1.

Use the following to answer questions : A game is played using a spinner like the one shown. -For each spin, what is the probability your spin is greater than 3?

Use the following to answer questions : A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria. -How long will it take for the number of bacteria to reach 245,760?

(a) Identify the first term a1 of the geometric sequence. (b) Identify the common ratio r. (c) Write an expression for the nth term an = a1rn-1. (d) Use the expression for the nth term to find the 10th term.

Determine if the sequence given is geometric. If yes, name the common ratio. 9, 4, -1, -6, -11, . . .

A club must elect a president, vice-president, and treasurer. In how many ways can the positions be filled if the club has 12 members?

A coin is flipped three times. Draw a tree diagram illustrating all possible outcomes. How many elements are in the sample space?

Use the following to answer questions : A box contains five blue, eight green, and three yellow marbles. -What is the probability the first marble you draw out is yellow?

Determine whether the infinite geometric series has a finite sum. If so, find the limiting value. 112 + 56 + 28 + . . .

Find the common difference d and the value of a1 given a5 = -24, and a16 = -123.

Two dice are rolled. What is the probability of a sum greater than 8?

Use the following to answer questions : In a class of 20 students, there are 12 girls and 8 boys. Three students are randomly selected to be teacher's assistants. -What is the probability that the group consists of all girls? Round your answer to four decimal places.

Write the first four terms of the arithmetic sequence with the given first term and common difference. a1 = 10, d = -2

Find the value of 9C4 either using (r factors of n! over r!) or using .

Use the following to answer questions : A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria. -What is the population after 5 hours?

One card is drawn from a standard deck of 52 cards. What is the probability of drawing a jack?

Find the indicated term for the sequence. an = ; a19.

For the given general term an, write the sum S7 using sigma notation. an = n + 9

Find the sum S11 for a geometric sequence with a1 = 9 and r = -2.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Use the following to answer questions : A geometric sequence has terms a₃ = 576 and a₆ = 243. -Find the value of a₁.

(a) Identify the first term a₁ of the geometric sequence. (b) Identify the common ratio r. (c) Write an expression for the nth term a_n = a₁rⁿ^-1. (d) Use the expression for the nth term to find the 10th term.

Find the common difference d and the value of a₁ given a₅ = -24, and a₁₆ = -123.

Write the first four terms of the arithmetic sequence with the given first term and common difference. a₁ = 10, d = -2

Find the value of ₉C₄ either using (r factors of n! over r!) or using .

Find the indicated term for the sequence. a_n = ; a₁₉.

For the given general term a_n, write the sum S₇ using sigma notation. a_n = n + 9

Find the sum S₁₁ for a geometric sequence with a₁ = 9 and r = -2.