SEQUENCES

At the end of this section, students should be able to:

  1. define the concept of a sequence \({a_n}\) of terms \(a_n\) as a function from the positive integers to the real numbers;
  2. write a specific term from the formula for the \(n\)th term, or from a recurrence relation;
  3. describe the behaviour of convergent and divergent sequences, through simple examples;
  4. apply mathematical induction to establish properties of sequences.