Try It Yourself

Give it a try!

After all that technical and hsitorical information, the best way to understanding how the fibonacci sequance works is to try and calculate it yourself. Here is a table of the squance from 0 - 2584, pick any number and sum the two pervious numbers before it, do this for any number including the ones I didn't list. The correct formula is (x_n = x_n−1 + x_n−2) You may notice that there is another pattern in the squance, the numbers go in an order of even, odd, odd, even, odd, odd, even, odd, odd, and so on.

F₀	F₁	F₂	F₃	F₄	F₅	F₆	F₇	F₈	F₉	F₁₀	F₁₁	F₁₂	F₁₃	F₁₄	F₁₅	F₁₆	F₁₇	F₁₈	F_...
0	1	1	2	3	5	8	13	21	34	55	89	144	233	377	610	987	1597	2584	...

Golden ratio drawn on a chock borad, by: geralt

This beautiful natural occurring phenomena in nature is really amazing. After thousands of years we are still discovering more about this ratio and its relation to nature, the universe, and ourselves. The Golden Ratio is used to create balance, harmony, and visual appeal. The best part is we can use the Golden Ratio in our work, whether we are creating art, music, designs, poetry and more. Yes it's not limited to mathematics alone, but also extends to science, space, architecture, photography, and other unrelated fields. I hope you found this website helpful and that you are inspired to explore and try it yourself.