Question 1

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)    i 
A)    
B)    
C)    
D)    i

Question 2

Solve the problem.
-A job pays a salary of 31,000 the first year. During the next 7 years, the salary increases by 6% each year. What is the salary for the 8th year? What is the total salary over the 8-year period? (Round to the nearest cent.)

Accepted Answer

A)  $49,409.29; $356,230.8 
B)  $46,612.54; $260,208.97 
C)  $49,409.29; $260,225.63 
D)  $46,612.54; $306,821.51 
A)  $49,409.29; $356,230.8 
B)  $46,612.54; $260,208.97 
C)  $49,409.29; $260,225.63 
D)  $46,612.54; $306,821.51

Question 3

Evaluate the combination.
-

Accepted Answer

A)  665,280 
B)  924 
C)  1848 
D)  462 
A)  665,280 
B)  924 
C)  1848 
D)  462

Question 4

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 5

Write the first three terms of the expansion.
-

Accepted Answer

A)    
B)    
C)  8 x 8 + 7 x 7 y + 6 x 6 y2 
D)    
A)    
B)    
C)  8 x 8 + 7 x 7 y + 6 x 6 y2 
D)

Question 6

Write the first three terms of the expansion.
-

Accepted Answer

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

Question 7

Determine the first five terms of the geometric sequence.
-

Accepted Answer

A)  3, 7, 11, 15, 19 
B)  3, 12, 48, 192, 768 
C)  4, 12, 36, 108, 324 
D)  12, 48, 192, 768, 3072 
A)  3, 7, 11, 15, 19 
B)  3, 12, 48, 192, 768 
C)  4, 12, 36, 108, 324 
D)  12, 48, 192, 768, 3072

Question 8

Find the indicated term of the geometric sequence.
-

Accepted Answer

A)  39,366 
B)  27 
C)  13,126 
D)  13,122 
A)  39,366 
B)  27 
C)  13,126 
D)  13,122

Question 9

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 10

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

Accepted Answer

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

Question 11

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 12

Solve the problem.
-To save for retirement, Sue decides to deposit $1750 into an IRA at the end of each year for the next 40 years. If the interest rate is 7% per year compounded annually, find the value of the IRA after 40 years. (Round to the
Nearest dollar.)

Accepted Answer

A)  $349,361 
B)  $24,455 
C)  $5,388,611 
D)  $324,871 
A)  $349,361 
B)  $24,455 
C)  $5,388,611 
D)  $324,871

Question 13

Evaluate the factorial.
-

Accepted Answer

A)  3,628,800 
B)  20 
C)  40,320 
D)  362,880 
A)  3,628,800 
B)  20 
C)  40,320 
D)  362,880

Question 14

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

Accepted Answer

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

Question 15

Find the sum,   of the sequence.
-

Accepted Answer

A)  27 
B)  63 
C)  238 
D)  119 
A)  27 
B)  63 
C)  238 
D)  119

Question 16

Write the repeating decimal as a ratio of integers.
-0.363636

Accepted Answer

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

Question 17

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 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Write the first three terms of the expansion.
-

Accepted Answer

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

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

Solve the problem. -A job pays a salary of 31,000 the first year. During the next 7 years, the salary increases by 6% each year. What is the salary for the 8th year? What is the total salary over the 8-year period? (Round to the nearest cent.)

Evaluate the combination. -

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

Write the first three terms of the expansion. -

Write the first three terms of the expansion. -

Determine the first five terms of the geometric sequence. -

Find the indicated term of the geometric sequence. -

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

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. -

Solve the problem. -To save for retirement, Sue decides to deposit $1750 into an IRA at the end of each year for the next 40 years. If the interest rate is 7% per year compounded annually, find the value of the IRA after 40 years. (Round to the Nearest dollar.)

Evaluate the factorial. -

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

Find the sum, of the sequence. -

Write the repeating decimal as a ratio of integers. -0.363636

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

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

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

Write the first three terms of the expansion. -

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

Solve the problem. -A job pays a salary of 31,000 the first year. During the next 7 years, the salary increases by 6% each year. What is the salary for the 8th year? What is the total salary over the 8-year period? (Round to the nearest cent.)

Evaluate the combination. -

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

Write the first three terms of the expansion. -

Write the first three terms of the expansion. -

Determine the first five terms of the geometric sequence. -

Find the indicated term of the geometric sequence. -

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

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. -

Solve the problem. -To save for retirement, Sue decides to deposit $1750 into an IRA at the end of each year for the next 40 years. If the interest rate is 7% per year compounded annually, find the value of the IRA after 40 years. (Round to the Nearest dollar.)

Evaluate the factorial. -

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

Find the sum, of the sequence. -

Write the repeating decimal as a ratio of integers. -0.363636

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

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

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

Write the first three terms of the expansion. -

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