Question 1

For the set of values x   find the following.
-

Accepted Answer

A)  32 
B)  6 
C)  -10 
D)  42 
A)  32 
B)  6 
C)  -10 
D)  42

Question 2

Solve the problem.
-On a gambling boat, Gertrude tripled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.

Accepted Answer

A)  $405; $605 
B)  $3645; $5465 
C)  $1215; $1820 
D)  $3645; $1820 
A)  $405; $605 
B)  $3645; $5465 
C)  $1215; $1820 
D)  $3645; $1820

Question 3

Determine the first five terms of the geometric sequence.
-

Accepted Answer

A)    
B)    
C)  9, 27, 81, 243, 729 
D)    
A)    
B)    
C)  9, 27, 81, 243, 729 
D)

Question 4

Find the common difference of the sequence.
-

Accepted Answer

A)  4.35 
B)  5.63 
C)  13.05 
D)  3.2625 
A)  4.35 
B)  5.63 
C)  13.05 
D)  3.2625

Question 5

For the geometric sequence, find the common ratio, r.
-6, -1.8, 0.54, -0.162, . . .

Accepted Answer

A)  -1.8 
B)  -0.3 
C)  -0.03 
D)  -3 
A)  -1.8 
B)  -0.3 
C)  -0.03 
D)  -3

Question 6

Find the common difference of the sequence.
-

Accepted Answer

A)  6 
B)  -2 
C)  -6 
D)  2 
A)  6 
B)  -2 
C)  -6 
D)  2

Question 7

Write the expression for the general (or nth) term, an, of the arithmetic sequence. Then, find the indicated term of the
arithmetic sequence.
-

Accepted Answer

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

Question 8

Solve the problem.
-When students at the local university held a food drive, 2916 cans of food were collected on the first day of the drive, 972 the second day, 324 the third day, and so on. Find the total number of cans collected the first five
Days.

Accepted Answer

A)  4320 cans 
B)  7380 cans 
C)  4356 cans 
D)  4368 cans 
A)  4320 cans 
B)  7380 cans 
C)  4356 cans 
D)  4368 cans

Question 9

Evaluate the series.
-

Accepted Answer

A)  30 
B)  18 
C)  20 
D)  14 
A)  30 
B)  18 
C)  20 
D)  14

Question 10

Solve the problem.
-Deborah is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $170 during her first year on the job. Find her monthly salary at the end of her first year.

Accepted Answer

A)  $4870 
B)  $4700 
C)  $3170 
D)  $5040 
A)  $4870 
B)  $4700 
C)  $3170 
D)  $5040

Question 11

Solve the problem.
-Doctors predict that by administering a vaccine, the number of new cases of a certain disease will decrease by half each year. If 700 people were afflicted with the disease in 2000, estimate the number of new cases in 2005.
(Round to the nearest whole number, if necessary.)

Accepted Answer

A)  22 new cases in 2005 
B)  11 new cases in 2005 
C)  88 new cases in 2005 
D)  44 new cases in 2005 
A)  22 new cases in 2005 
B)  11 new cases in 2005 
C)  88 new cases in 2005 
D)  44 new cases in 2005

Question 12

Solve the problem.
-In a geometric series, a2 = 20 and a5 = 2500; find r and a1.

Accepted Answer

The answer of Solve the problem.
-In a geometric series, a2...

Question 13

For the geometric sequence, find the common ratio, r.
-1, -3, 9, -27, 81, . . .

Accepted Answer

A)  9 
B)  -3 
C)  3 
D)  -4 
A)  9 
B)  -3 
C)  3 
D)  -4

Question 14

Find the indicated sum.
-

Accepted Answer

A)  -3,985,768 
B)  -3,985,825 
C)  -3,985,805 
D)  -3,985,803 
A)  -3,985,768 
B)  -3,985,825 
C)  -3,985,805 
D)  -3,985,803

Question 15

Write the next three terms of the sequence.
--6, -9, -12, -15, ...

Accepted Answer

A)  -18, -21, -24 
B)  18, 21, 24 
C)  -21, -24, -27 
D)  -12, -9, -6 
A)  -18, -21, -24 
B)  18, 21, 24 
C)  -21, -24, -27 
D)  -12, -9, -6

Question 16

Evaluate the combination.
-

Accepted Answer

A)  0 
B)  2 
C)  1 
D)  479,001,600 
A)  0 
B)  2 
C)  1 
D)  479,001,600

Question 17

Find the common difference of the sequence.
-

Accepted Answer

A)  4 
B)  3 
C)  1 
D)  0.75 
A)  4 
B)  3 
C)  1 
D)  0.75

Question 18

Evaluate the series.
-

Accepted Answer

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

Question 19

Find the sum,   of the sequence.
-

Accepted Answer

A)  660 
B)  616 
C)  720 
D)  480 
A)  660 
B)  616 
C)  720 
D)  480

Question 20

Write the first five terms of the arithmetic sequence with the given term and common difference.
-

Accepted Answer

A)  6, 10, 14, 18, 22 
B)  10, 14, 18, 22, 26 
C)  6, 9, 12, 15, 18 
D)  0, 6, 10, 14, 18 
A)  6, 10, 14, 18, 22 
B)  10, 14, 18, 22, 26 
C)  6, 9, 12, 15, 18 
D)  0, 6, 10, 14, 18

For the set of values x find the following. -

Solve the problem. -On a gambling boat, Gertrude tripled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.

Determine the first five terms of the geometric sequence. -

Find the common difference of the sequence. -

For the geometric sequence, find the common ratio, r. -6, -1.8, 0.54, -0.162, . . .

Find the common difference of the sequence. -

Write the expression for the general (or nth) term, an, of the arithmetic sequence. Then, find the indicated term of the arithmetic sequence. -

Solve the problem. -When students at the local university held a food drive, 2916 cans of food were collected on the first day of the drive, 972 the second day, 324 the third day, and so on. Find the total number of cans collected the first five Days.

Evaluate the series. -

Solve the problem. -Deborah is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $170 during her first year on the job. Find her monthly salary at the end of her first year.

Solve the problem. -Doctors predict that by administering a vaccine, the number of new cases of a certain disease will decrease by half each year. If 700 people were afflicted with the disease in 2000, estimate the number of new cases in 2005. (Round to the nearest whole number, if necessary.)

Solve the problem. -In a geometric series, a2 = 20 and a5 = 2500; find r and a1.

For the geometric sequence, find the common ratio, r. -1, -3, 9, -27, 81, . . .

Find the indicated sum. -

Write the next three terms of the sequence. --6, -9, -12, -15, ...

Evaluate the combination. -

Find the common difference of the sequence. -

Evaluate the series. -

Find the sum, of the sequence. -

Write the first five terms of the arithmetic sequence with the given term and common difference. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Appendix Review of Decimals and Percent

Filters

Exam 15: Sequences, Series, and the Binomial Theorem

For the set of values x find the following. -

Solve the problem. -On a gambling boat, Gertrude tripled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.

Determine the first five terms of the geometric sequence. -

Find the common difference of the sequence. -

For the geometric sequence, find the common ratio, r. -6, -1.8, 0.54, -0.162, . . .

Find the common difference of the sequence. -

Write the expression for the general (or nth) term, an, of the arithmetic sequence. Then, find the indicated term of the arithmetic sequence. -

Solve the problem. -When students at the local university held a food drive, 2916 cans of food were collected on the first day of the drive, 972 the second day, 324 the third day, and so on. Find the total number of cans collected the first five Days.

Evaluate the series. -

Solve the problem. -Deborah is considering a job that offers a monthly starting salary of $3000 and guarantees her a monthly raise of $170 during her first year on the job. Find her monthly salary at the end of her first year.

Solve the problem. -Doctors predict that by administering a vaccine, the number of new cases of a certain disease will decrease by half each year. If 700 people were afflicted with the disease in 2000, estimate the number of new cases in 2005. (Round to the nearest whole number, if necessary.)

Solve the problem. -In a geometric series, a2 = 20 and a5 = 2500; find r and a1.

For the geometric sequence, find the common ratio, r. -1, -3, 9, -27, 81, . . .

Find the indicated sum. -

Write the next three terms of the sequence. --6, -9, -12, -15, ...

Evaluate the combination. -

Find the common difference of the sequence. -

Evaluate the series. -

Find the sum, of the sequence. -

Write the first five terms of the arithmetic sequence with the given term and common difference. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Appendix Review of Decimals and Percent

Filters