Question 1

Write the expression for the general (or nth) term, an, of the geometric sequence.
--4, -8, -16, -32, -64,. . .

Accepted Answer

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

Question 2

Determine the first five terms of the geometric sequence.
-

Accepted Answer

A)  -7, -10, -13, -16, -19 
B)  -3, 21, -63, 189, -567 
C)  -7, 21, -63, 189, -567 
D)  -7, -21, -63, 189, -567 
A)  -7, -10, -13, -16, -19 
B)  -3, 21, -63, 189, -567 
C)  -7, 21, -63, 189, -567 
D)  -7, -21, -63, 189, -567

Question 3

Write the next three terms of the sequence.
-

Accepted Answer

A)  10, 7, 4 
B)  16, 19, 25 
C)  16, 19, 22 
D)  19, 22, 25 
A)  10, 7, 4 
B)  16, 19, 25 
C)  16, 19, 22 
D)  19, 22, 25

Question 4

Use the binomial theorem to expand the expression.
-

Accepted Answer

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

Question 5

Write out the series.
-

Accepted Answer

A)  4 + 5 + 6 + 7 + ... 
B)  3 + 4 + 5 + 6 
C)  7 + 8 + 9 + 10 
D)  4 + 5 + 6 + 7 
A)  4 + 5 + 6 + 7 + ... 
B)  3 + 4 + 5 + 6 
C)  7 + 8 + 9 + 10 
D)  4 + 5 + 6 + 7

Question 6

Evaluate the series.
-

Accepted Answer

A)  75 
B)  24 
C)  36 
D)  62 
A)  75 
B)  24 
C)  36 
D)  62

Question 7

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 8

Find the indicated quantity of the arithmetic sequence.
-

Accepted Answer

A)  59 
B)  -59 
C)  51 
D)  -64 
A)  59 
B)  -59 
C)  51 
D)  -64

Question 9

Provide an appropriate response.
-The numerical coefficients of the terms in the expansion of (   can be found using triangle.

Accepted Answer

A)  factoring 
B)  Pascal's 
C)  product 
D)  binomial 
A)  factoring 
B)  Pascal's 
C)  product 
D)  binomial

Question 10

Solve the problem.
-After being struck with a hammer, a gong vibrates 24 vibrations in the first second and in each second thereafter makes   as many vibrations as in the previous second. Find how many vibrations the gong makes before it
Stops vibrating.

Accepted Answer

A)  106 vibrations 
B)  27 vibrations 
C)  96 vibrations 
D)  32 vibrations 
A)  106 vibrations 
B)  27 vibrations 
C)  96 vibrations 
D)  32 vibrations

Question 11

Find the sum of the infinite geometric series.
-3

Accepted Answer

A)  52 
B)  - 18 
C)  54 
D)  36 
A)  52 
B)  - 18 
C)  54 
D)  36

Question 12

Find the sum,   of the sequence.
-Find the sum of the first 70 positive odd integers.

Accepted Answer

A)  4904 
B)  4830 
C)  4900 
D)  4826 
A)  4904 
B)  4830 
C)  4900 
D)  4826

Question 13

Find the indicated term of the geometric sequence.
-

Accepted Answer

A)  96 
B)  30 
C)  192 
D)  32 
A)  96 
B)  30 
C)  192 
D)  32

Question 14

For the geometric sequence, find the common ratio, r.
-

Accepted Answer

A)  4 
B)    
C)  2 
D)  6 
A)  4 
B)    
C)  2 
D)  6

Question 15

Write the expression for the general (or nth) term, an, of the geometric sequence.
-6, -18, 54, -162, 486,. . .

Accepted Answer

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

Question 16

Find the indicated sum.
-

Accepted Answer

A)  1,062,880 
B)  1,062,917 
C)  1,062,860 
D)  1,062,882 
A)  1,062,880 
B)  1,062,917 
C)  1,062,860 
D)  1,062,882

Question 17

For the geometric sequence, find the common ratio, r.
-

Accepted Answer

A)    
B)    
C)  53 
D)    
A)    
B)    
C)  53 
D)

Question 18

Find the indicated quantity of the arithmetic sequence.
-

Accepted Answer

A)  779 
B)  -775 
C)  773 
D)  -781 
A)  779 
B)  -775 
C)  773 
D)  -781

Question 19

Find the indicated sum.
-

Accepted Answer

A)    
B)  0 
C)    
D)  93 
A)    
B)  0 
C)    
D)  93

Question 20

For the set of values x   find the following.
-

Accepted Answer

A)  35 
B)  40 
C)  8 
D)  41 
A)  35 
B)  40 
C)  8 
D)  41

Write the expression for the general (or nth) term, an, of the geometric sequence. --4, -8, -16, -32, -64,. . .

Determine the first five terms of the geometric sequence. -

Write the next three terms of the sequence. -

Use the binomial theorem to expand the expression. -

Write out the series. -

Evaluate the series. -

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

Find the indicated quantity of the arithmetic sequence. -

Provide an appropriate response. -The numerical coefficients of the terms in the expansion of ( can be found using triangle.

Solve the problem. -After being struck with a hammer, a gong vibrates 24 vibrations in the first second and in each second thereafter makes as many vibrations as in the previous second. Find how many vibrations the gong makes before it Stops vibrating.

Find the sum of the infinite geometric series. -3

Find the sum, of the sequence. -Find the sum of the first 70 positive odd integers.

Find the indicated term of the geometric sequence. -

For the geometric sequence, find the common ratio, r. -

Write the expression for the general (or nth) term, an, of the geometric sequence. -6, -18, 54, -162, 486,. . .

Find the indicated sum. -

For the geometric sequence, find the common ratio, r. -

Find the indicated quantity of the arithmetic sequence. -

Find the indicated sum. -

For the set of values x find the following. -

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

Write the expression for the general (or nth) term, an, of the geometric sequence. --4, -8, -16, -32, -64,. . .

Determine the first five terms of the geometric sequence. -

Write the next three terms of the sequence. -

Use the binomial theorem to expand the expression. -

Write out the series. -

Evaluate the series. -

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

Find the indicated quantity of the arithmetic sequence. -

Provide an appropriate response. -The numerical coefficients of the terms in the expansion of ( can be found using triangle.

Solve the problem. -After being struck with a hammer, a gong vibrates 24 vibrations in the first second and in each second thereafter makes as many vibrations as in the previous second. Find how many vibrations the gong makes before it Stops vibrating.

Find the sum of the infinite geometric series. -3

Find the sum, of the sequence. -Find the sum of the first 70 positive odd integers.

Find the indicated term of the geometric sequence. -

For the geometric sequence, find the common ratio, r. -

Write the expression for the general (or nth) term, an, of the geometric sequence. -6, -18, 54, -162, 486,. . .

Find the indicated sum. -

For the geometric sequence, find the common ratio, r. -

Find the indicated quantity of the arithmetic sequence. -

Find the indicated sum. -

For the set of values x find the following. -

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