Vegan Steven Podcast

music -Fibonacci Numbers


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The Fibonacci Sequence is the series of numbers:


0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...


The next number is found by adding up the two numbers before it.


The 2 is found by adding the two numbers before it (1+1)

The 3 is found by adding the two numbers before it (1+2),

And the 5 is (2+3),

and so on!


Here is a longer list:


0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ...

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And even more surprising is that we can calculate any Fibonacci Number using the Golden Ratio:


fibonacci formula phi


The answer always comes out as a whole number, exactly equal to the addition of the previous two terms.


Example:


fibonacci formula phi 6


When I used a calculator on this (only entering the Golden Ratio to 6 decimal places) I got the answer 8.00000033. A more accurate calculation would be closer to 8.


Try it for yourself!


 


You can also calculate a Fibonacci Number by multiplying the previous Fibonacci Number by the Golden Ratio and then rounding (works for numbers above 1):

...more
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