Question 1

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

Accepted Answer

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

Question 2

Write the first five terms of the sequence whose nth term is shown.
-an = n2n+ 2

Accepted Answer

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

Question 3

Find the arithmetic mean   of the following set of data.
-80, 90, 100, 110, 120

Accepted Answer

A)  500 
B)  100 
C)  110 
D)  90 
A)  500 
B)  100 
C)  110 
D)  90 B

Question 4

Find the sum,   of the sequence.
-Find the sum of the odd integers between 36 and 78.

Accepted Answer

A)  1311 
B)  1197 
C)  1254 
D)  1140 
A)  1311 
B)  1197 
C)  1254 
D)  1140

Question 5

Find the common difference of the sequence.
-

Accepted Answer

A)  -4 
B)  -12 
C)  12 
D)  -8 
A)  -4 
B)  -12 
C)  12 
D)  -8

Question 6

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

Accepted Answer

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

Question 7

Find the sum of the terms in the geometric sequence.
-

Accepted Answer

A)    
B)    
C)  10 
D)  5 
A)    
B)    
C)  10 
D)  5

Question 8

Write the next three terms of the sequence.
-

Accepted Answer

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

Question 9

Find the first and third partial sums, s1 and s3, for the sequence
-

Accepted Answer

A)  -3, 9 
B)  -3, -1 
C)  -3, -7 
D)  -3, -3 
A)  -3, 9 
B)  -3, -1 
C)  -3, -7 
D)  -3, -3

Question 10

Write the expression for the general (or nth) term, an, of the geometric sequence.
-5, 10, 20, 40, 80,. . .

Accepted Answer

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

Question 11

Find the sum,   of the sequence.
-2, 4, 6, 8, . . ., 110

Accepted Answer

A)  3135 
B)  3080 
C)  3087 
D)  112 
A)  3135 
B)  3080 
C)  3087 
D)  112

Question 12

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

Accepted Answer

A)    
B)  3 
C)  2 
D)    
A)    
B)  3 
C)  2 
D)

Question 13

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

Accepted Answer

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

Question 14

Find the sum of the terms in the geometric sequence.
-

Accepted Answer

A)  35 
B)  - 20 
C)  40 
D)  20 
A)  35 
B)  - 20 
C)  40 
D)  20

Question 15

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

Accepted Answer

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

Question 16

Use the binomial theorem to expand the expression.
-

Accepted Answer

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

Question 17

Solve the problem.
-A school auditorium has 40 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the auditorium?

Accepted Answer

A)  8560 seats 
B)  8400 seats 
C)  4200 seats 
D)  4280 seats 
A)  8560 seats 
B)  8400 seats 
C)  4200 seats 
D)  4280 seats

Question 18

Write out the series.
-

Accepted Answer

A)  75 
B)  1 + 3 + 9 + 15 + 21 + 27 
C)  3 + 9 + 15 + 21 + 27 + 33 
D)  3 + 9 + 15 + 21 + 27 + 33 + ... 
A)  75 
B)  1 + 3 + 9 + 15 + 21 + 27 
C)  3 + 9 + 15 + 21 + 27 + 33 
D)  3 + 9 + 15 + 21 + 27 + 33 + ...

Question 19

Use the binomial theorem to expand the expression.
-

Accepted Answer

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

Question 20

Use the binomial theorem to expand the expression.
-

Accepted Answer

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

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

Write the first five terms of the sequence whose nth term is shown. -an = n2n+ 2

Find the arithmetic mean of the following set of data. -80, 90, 100, 110, 120

Find the sum, of the sequence. -Find the sum of the odd integers between 36 and 78.

Find the common difference of the sequence. -

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

Find the sum of the terms in the geometric sequence. -

Write the next three terms of the sequence. -

Find the first and third partial sums, s1 and s3, for the sequence -

Write the expression for the general (or nth) term, an, of the geometric sequence. -5, 10, 20, 40, 80,. . .

Find the sum, of the sequence. -2, 4, 6, 8, . . ., 110

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

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

Find the sum of the terms in the geometric sequence. -

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

Use the binomial theorem to expand the expression. -

Solve the problem. -A school auditorium has 40 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the auditorium?

Write out the series. -

Use the binomial theorem to expand the expression. -

Use the binomial theorem to expand the expression. -

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. -

Write the first five terms of the sequence whose nth term is shown. -an = n2n+ 2

Find the arithmetic mean of the following set of data. -80, 90, 100, 110, 120

Find the sum, of the sequence. -Find the sum of the odd integers between 36 and 78.

Find the common difference of the sequence. -

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

Find the sum of the terms in the geometric sequence. -

Write the next three terms of the sequence. -

Find the first and third partial sums, s1 and s3, for the sequence -

Write the expression for the general (or nth) term, an, of the geometric sequence. -5, 10, 20, 40, 80,. . .

Find the sum, of the sequence. -2, 4, 6, 8, . . ., 110

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

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

Find the sum of the terms in the geometric sequence. -

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

Use the binomial theorem to expand the expression. -

Solve the problem. -A school auditorium has 40 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the auditorium?

Write out the series. -

Use the binomial theorem to expand the expression. -

Use the binomial theorem to expand the expression. -

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