Question 1

Find the arithmetic mean   of the following set of data.
-1, 5, 9, 13, 17

Accepted Answer

A)  7.5 
B)  11.25 
C)  45 
D)  9 
A)  7.5 
B)  11.25 
C)  45 
D)  9

Question 2

Find the sum of the infinite geometric series.
-

Accepted Answer

A)    
B)    
C)    
D)  3 
A)    
B)    
C)    
D)  3

Question 3

Write the expression for the general (or nth) term, an, of the geometric sequence.
-2, 4, 8, 16, 32,. . .

Accepted Answer

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

Question 4

Solve the problem.
-In a geometric series,   find r and a1.

Accepted Answer

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

Question 5

Determine the first five terms of the geometric sequence.
-

Accepted Answer

A)  6, 30, 150, -750, 3750 
B)  -5, -30, 150, -750, 3750 
C)  6, 1, -4, -9, -14 
D)  6, -30, 150, -750, 3750 
A)  6, 30, 150, -750, 3750 
B)  -5, -30, 150, -750, 3750 
C)  6, 1, -4, -9, -14 
D)  6, -30, 150, -750, 3750

Question 6

Find the common difference of the sequence.
-

Accepted Answer

A)    
B)  -3 
C)    
D)    
A)    
B)  -3 
C)    
D)

Question 7

Find the sum of the infinite geometric series.
-

Accepted Answer

A)  - 20 
B)  -10 
C)    
D)  10 
A)  - 20 
B)  -10 
C)    
D)  10

Question 8

Write out the series.
-

Accepted Answer

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

Question 9

Find the indicated sum.
-a

Accepted Answer

A)  93 
B)  11718 
C)  910 
D)  3906 
A)  93 
B)  11718 
C)  910 
D)  3906

Question 10

Find the indicated term of the geometric sequence.
-

Accepted Answer

A)  -512 
B)  12 
C)  -256 
D)  -252 
A)  -512 
B)  12 
C)  -256 
D)  -252

Question 11

Use the binomial theorem to expand the expression.
-

Accepted Answer

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

Question 12

For the given general term an, write an expression using ∑ to represent the indicated partial sum.
-

Accepted Answer

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

Question 13

Write the first five terms of the sequence whose nth term is shown.
-

Accepted Answer

A)  1, 12 , 13 , 14 , 15 
B)    
C)  4, 1, 49 , 14 , 254 
D)    
A)  1, 12 , 13 , 14 , 15 
B)    
C)  4, 1, 49 , 14 , 254 
D)

Question 14

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

Accepted Answer

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

Question 15

Write the first five terms of the sequence whose nth term is shown.
-an = 2n

Accepted Answer

A)  4, 8, 16, 32, 64 
B)  1, 2, 4, 8, 16 
C)  2, 4, 8, 16, 32 
D)  1, 4, 9, 16, 25 
A)  4, 8, 16, 32, 64 
B)  1, 2, 4, 8, 16 
C)  2, 4, 8, 16, 32 
D)  1, 4, 9, 16, 25

Question 16

Solve the problem.
-Mr. and Mrs. Smith are planning to have 5 children. How many ways can they have 3 boys and 2 girls?

Accepted Answer

A)  10 
B)  60 
C)  12 
D)  6 
A)  10 
B)  60 
C)  12 
D)  6

Question 17

Evaluate the series.
-

Accepted Answer

A)  60 
B)  45 
C)  30 
D)  90 
A)  60 
B)  45 
C)  30 
D)  90

Question 18

Find the common difference of the sequence.
-

Accepted Answer

A)  635 
B)  -6 
C)  6 
D)  -635 
A)  635 
B)  -6 
C)  6 
D)  -635

Question 19

Consider the following squares. For the nth square, the length of each side is n.
-  i) Find the perimeters of the first 4 squares, then list the perimeters in a sequence.
ii) Find the general term for the perimeter of the nth square in the sequence. Use pn for the perimeter.

Accepted Answer

The answer of Consider the following squares. For the nth...

Question 20

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

Accepted Answer

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

Find the arithmetic mean of the following set of data. -1, 5, 9, 13, 17

Find the sum of the infinite geometric series. -

Write the expression for the general (or nth) term, an, of the geometric sequence. -2, 4, 8, 16, 32,. . .

Solve the problem. -In a geometric series, find r and a1.

Determine the first five terms of the geometric sequence. -

Find the common difference of the sequence. -

Find the sum of the infinite geometric series. -

Write out the series. -

Find the indicated sum. -a

Find the indicated term of the geometric sequence. -

Use the binomial theorem to expand the expression. -

For the given general term an, write an expression using ∑ to represent the indicated partial sum. -

Write the first five terms of the sequence whose nth term is shown. -

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

Write the first five terms of the sequence whose nth term is shown. -an = 2n

Solve the problem. -Mr. and Mrs. Smith are planning to have 5 children. How many ways can they have 3 boys and 2 girls?

Evaluate the series. -

Find the common difference of the sequence. -

Consider the following squares. For the nth square, the length of each side is n. - i) Find the perimeters of the first 4 squares, then list the perimeters in a sequence. ii) Find the general term for the perimeter of the nth square in the sequence. Use pn for the perimeter.

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

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

Find the arithmetic mean of the following set of data. -1, 5, 9, 13, 17

Find the sum of the infinite geometric series. -

Write the expression for the general (or nth) term, an, of the geometric sequence. -2, 4, 8, 16, 32,. . .

Solve the problem. -In a geometric series, find r and a1.

Determine the first five terms of the geometric sequence. -

Find the common difference of the sequence. -

Find the sum of the infinite geometric series. -

Write out the series. -

Find the indicated sum. -a

Find the indicated term of the geometric sequence. -

Use the binomial theorem to expand the expression. -

For the given general term an, write an expression using ∑ to represent the indicated partial sum. -

Write the first five terms of the sequence whose nth term is shown. -

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

Write the first five terms of the sequence whose nth term is shown. -an = 2n

Solve the problem. -Mr. and Mrs. Smith are planning to have 5 children. How many ways can they have 3 boys and 2 girls?

Evaluate the series. -

Find the common difference of the sequence. -

Consider the following squares. For the nth square, the length of each side is n. - i) Find the perimeters of the first 4 squares, then list the perimeters in a sequence. ii) Find the general term for the perimeter of the nth square in the sequence. Use pn for the perimeter.

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

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