Sequence is a game you can pick up in the game section of a store and a series is a group of games that leads to the winner of the World Series. In the world of mathematics, sequences and series are different but interrelated concepts. The links below will help get you started on the assignment. Do or answer the following dealing with sequences and series on a separate sheet of paper to be turned in:
- Define the following terms: sequence, arithmetic sequence, geometric sequence, series.
- What is the difference between sequences and series?
- Define recursion.
- What is the difference between explicit definitions and recursive definitions of sequences or series?
- Find and identify at least one famous sequence and one famous series. Give their explicit and recursive definition (if both definitions exist). Tell how each is important.