Problems and Review Materials for Math Xb Gateway 1

The first gateway will test your facility with the concepts and calculations of series.

The gateway test will have eight questions on it. These questions are divided into ten categories (see table below). Each gateway test will feature one question drawn from each of eight categories.

The first time that the gateway will be given will be during lab on Thursday Feburary 27.
Each test will feature eight questions. A passing grade is seven or eight perfectly correct.
The questions that appear on each test will be drawn from the categories shown in the table below.
If you don't pass the test on the first attempt, you will be able to retake the test from Xa lab leaders through the Math Question Center or else from section leaders during office hours.
Remember: You have to pass all of the gateway tests by 5p.m. on Friday May 3. For every gateway test that you have not passed by that time, your final grade in the course will be lowered by one complete letter.

Category	Review Problems and Answers
Distinguishing between Finite and Infinite Series	Problems that test your ability to distinguish between Finite and Infinite Series
Distinguishing between Geometric and Non-geometric Series	Problems that test your ability to distinguish between geometric and non-geometric series
Identifying the General Term of a Series	Problems that test your ability to identify the general term of a series
Expressing a Series Using Sigma (Summation) Notation	Problems that test your ability to express a series using sigma (summation) notation
Calculating the Sum of a Finite Geometric Series	Problems that test your ability to calculate the sum of a finite geometric series
Calculating the Sum of a Finite Non-Geometric Series	Problems that test your ability to calculate the sum of a finite non-geometric series
Deciding Whether an Infinite Geometric Series Converges or Diverges	Problems that test your ability to decide whether an infinite geometric series converges or diverges
Deciding Whether an Infinite Non-Geometric Series Converges or Diverges	Problems that test your ability to decide whether an infinite non-geometric series converges or diverges
Calculating the Sum of an Infinite Geometric Series	Problems that test your ability to calculate the sum of an infinite geometric series
Understanding Theoretical Conditions for the Convergence or Divergence of an Infinite Series	Problems that test your understanding of theoretical conditions for the convergence or divergence of an infinite series