Assignment 12: Fibonacci Sequence
f(n) = f(n-1) + f(n-2)
Construct the ratio of each pair of adjacent terms in the Fibonacci sequence.
What happens as n increases? What about the ratio of every second term? etc.
We will find the Fibonacci Ratio by adding consecutive terms. We will plug 0 and 1 into the first 2 rows of the spreadsheet and create a formula to calculate each of the following terms of the Fibonacci Sequence. After finding the Fibonacci Sequence we will find the ratio of adjacent terms of the sequence. Notice that the ratio moves up and down until it settles on the Golden Ratio. Observe,
Next we will find the second ratio where we will find the ratio between every other term. After finding this ratio I notice that the ratio between every other term bounces around just like the first case. This ratio eventually settles on what appears to be the Golden Ration + 1. Observe,