Question 1

Consider the sequence whose nth term is given by
   . Write the sequence as a recursive sequence.

Accepted Answer

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

Question 2

Find the coefficient of x27 in the expansion of (x + 5)30.

Accepted Answer

Question 3

At the first day of a new year you have 1,017 e-mail messages saved on your computer. At the end of each day you save only your 14 most important new e-mail messages. How many messages will you have saved on the 97th day of the year?

Accepted Answer

2,375 e-ma

Question 4

Evaluate    .

Accepted Answer

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

Question 5

Evaluate    . Give the exact answer.

Accepted Answer

The answer of Evaluate    . Give the...

Question 6

Find the sum of all four-digit positive integers whose last digit equals 4.

Accepted Answer

The answer of Find the sum of all four-digit positive...

Question 7

Which of the following arithmetic sequences has third term 7?

Accepted Answer

A)  First term 4; difference 3 
B)  First term 1; difference 3 
C)  First term -2; difference 6 
D)  First term -5; difference 7 
A)  First term 4; difference 3 
B)  First term 1; difference 3 
C)  First term -2; difference 6 
D)  First term -5; difference 7

Question 8

Evaluate the arithmetic series.
100 + 115 + 130 + ... + 3280 + 3295

Accepted Answer

The answer of Evaluate the arithmetic series.
100 + 115 +...

Question 9

Suppose your annual salary at the beginning of your first year at a new company is $40,000. Assume your salary increases by 9% per year at the end of each year of employment. What is your salary at the end of the 6th year? Round the answer to the nearest dollar.

Accepted Answer

The answer of Suppose your annual salary at the beginning...

Question 10

Evaluate the arithmetic series.
44 + 51 + 58 + ... + 926 + 933

Accepted Answer

The answer of Evaluate the arithmetic series.
44 + 51 +...

Question 11

Evaluate the arithmetic series.

Accepted Answer

The answer of Evaluate the arithmetic series.
  ...

Question 12

Find the first term of an arithmetic sequence such that    and   
 .

Accepted Answer

The answer of Find the first term of an arithmetic...

Consider the sequence whose n^th term is given by . Write the sequence as a recursive sequence.

Find the coefficient of x²⁷ in the expansion of (x + 5)³⁰.

At the first day of a new year you have 1,017 e-mail messages saved on your computer. At the end of each day you save only your 14 most important new e-mail messages. How many messages will you have saved on the 97th day of the year?

Evaluate .

Evaluate . Give the exact answer.

Find the sum of all four-digit positive integers whose last digit equals 4.

Which of the following arithmetic sequences has third term 7?

Evaluate the arithmetic series. 100 + 115 + 130 + ... + 3280 + 3295

Suppose your annual salary at the beginning of your first year at a new company is $40,000. Assume your salary increases by 9% per year at the end of each year of employment. What is your salary at the end of the 6th year? Round the answer to the nearest dollar.

Evaluate the arithmetic series. 44 + 51 + 58 + ... + 926 + 933

Evaluate the arithmetic series.

Find the first term of an arithmetic sequence such that and .

The Real Numbers

Functions and Their Graphs

Linear, Quadratic, Polynomial, and Rational Functions

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 7: Sequences, Series, and Limits

Consider the sequence whose nth term is given by . Write the sequence as a recursive sequence.

Find the coefficient of x27 in the expansion of (x + 5)30.

At the first day of a new year you have 1,017 e-mail messages saved on your computer. At the end of each day you save only your 14 most important new e-mail messages. How many messages will you have saved on the 97th day of the year?

Evaluate .

Evaluate . Give the exact answer.

Find the sum of all four-digit positive integers whose last digit equals 4.

Which of the following arithmetic sequences has third term 7?

Evaluate the arithmetic series. 100 + 115 + 130 + ... + 3280 + 3295

Suppose your annual salary at the beginning of your first year at a new company is $40,000. Assume your salary increases by 9% per year at the end of each year of employment. What is your salary at the end of the 6th year? Round the answer to the nearest dollar.

Evaluate the arithmetic series. 44 + 51 + 58 + ... + 926 + 933

Evaluate the arithmetic series.

Find the first term of an arithmetic sequence such that and .

The Real Numbers

Functions and Their Graphs

Linear, Quadratic, Polynomial, and Rational Functions

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Consider the sequence whose n^th term is given by . Write the sequence as a recursive sequence.

Find the coefficient of x²⁷ in the expansion of (x + 5)³⁰.