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We examine repeated iteration of various matrices from a graphical view, plotting each iterate vector for numerous randomly chosen initial values.
Then we examine a specific matrix and how why it generates the Fibonacci sequence.

A thesis/dissertation template for Oregon State University. Derived from original version posted on the OSU Math Department website. Edits are noted in the beavtex.cls file as well as in the replaceable abstract.

This document is a short introduction to the idea of convergence and divergence in sequences and shows how to prove a sequence is convergent by using the definition of convergence. This document also intrdocues the standard notation used for sequences.