The Matrix Connection: Fibonacci and Inductive Proof

  • The Matrix Connection: Fibonacci and Inductive Proof

    Tamara Veenstra, Catherine Miller
    This article presents several activities (some involving graphing calculators) designed to guide students to discover several interesting properties of Fibonacci numbers. Then, we explore interesting connections between Fibonacci numbers and matrices; using this connection and induction we prove divisibility properties of Fibonacci numbers. Includes problems and samples of tasks used to help student discover patterns within the Fibonacci Sequence and connections to matrix algebra.