• FIBONACCI MEANS AND ITS APPLICATIONS
Abstract
Fibonacci sequence has many applications in chemistry, botany, arts, statistics, mathematics, music and among others as it occurs naturally in our surroundings. Arithmetic, geometric and harmonic sequences are commonly tackled in college and high school mathematics but not the Fibonacci sequence. Sequences are generally taught by solving them through their “means.”
An equation was already obtained for integer sequences given two initial values to satisfy a Fibonacci or Fibonacci-like sequence. Recently, Natividad [4] derived explicit formulas in solving Fibonacci means based on the number of missing terms. This paper will discuss the usefulness of this formula in computing Fibonacci sequence as well as explaining the possibility of integrating this on different branches of science, preferably in mathematical sequences, by giving examples and discussing its applications.
An equation was already obtained for integer sequences given two initial values to satisfy a Fibonacci or Fibonacci-like sequence. Recently, Natividad [4] derived explicit formulas in solving Fibonacci means based on the number of missing terms. This paper will discuss the usefulness of this formula in computing Fibonacci sequence as well as explaining the possibility of integrating this on different branches of science, preferably in mathematical sequences, by giving examples and discussing its applications.
Keywords
Fibonacci sequence, Fibonacci means, missing terms.
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