## 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.