Challenge 3: Corresponding Fibonacci Number

Problem Statement

Implement a function that takes a variable, testVariable, and finds the number that is placed at that index in the Fibonacci sequence.

What is the Fibonacci Sequence?

The Fibonacci sequence is one of the most famous formulas in mathematics. Each number in the sequence is the sum of the two numbers that precede it.

The sequence looks as follows:

$ 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 … $

Indexing begins at $0$. Therefore, we have the element $0$ at index 0. At index $1$, we have the element $1$. At index $2$ we have the element $1$, and so on.

Generic Mathematical Notation of Fibonacci Sequence

Any number (at index $n$ in the series) can be calculated using the following equation:

$F$_n $=F$_n-2$+F$_n-1

By default, the first and the second number in the sequence are $0$ and $1$

$F$₀ $= 0$

$F$₁ $= 1$

$F$₂ $=F$₀$+F$₁ $=0 + 1= 1$

$F$₃ $=F$₁$+F$₂ $=1 + 1= 2$

$F$₄ $=F$₂$+F$₃ $=1 + 2= 3$

$F$₅ $=F$₃$+F$₄ $=2 + 3= 5$

$F$₆ $=F$₄$+F$₅ $=3 + 5= 8$

$F$₇ $=F$₅$+F$₆ $=5 + 8= 13$

Below is a visualization for the computation of the first $8$ elements in the Fibonacci sequence: