After completing this section, students should be able to do the following.
- Define a sequence.
- Write the first several terms of a sequence using an explicit formula.
- Write the first several terms of a sequence using a recurrence relation.
- Find an explicit formula for a sequence given recursively.
- Find a recurrence relation for a sequence given explicitly.
We investigate sequences.
Representing sequences visually
We can graph the terms of a sequence and find functions of a real variable that coincide with sequences on their common domains.