Electronic Proceedings of the Twenty-fourth Annual International Conference on Technology in Collegiate Mathematics

Orlando, Florida, March 22-25, 2012

Paper C027

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Twenty-fourth Annual International Conference on Technology in Collegiate Mathematics, ISBN 0-321-869699, Copyright (C) 2013 by Pearson Education, Inc.


Exploring the Fibonacci Sequence Of Order Two With CAS Technology

Jay L. Schiffman


Rowan University

list of all papers by this author

Click to access this paper: paper.pdf

ABSTRACT

The sequence recursively defined by is often called the Pell Sequence or Fibonacci sequence of order two. In this paper, the TI-89 and Mathematica 8.0 enables one to examine ratios of successive terms, explore divisibility and periodicity, furnish early prime outputs and provide algebraic proofs of palatable number tricks.

Keyword(s): TI-89, Mathematica, number theory