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Mathematics

What is The Fibonacci sequence?

The Fibonacci sequence is a series of numbers where each is the sum of the two before it: 0, 1, 1, 2, 3, 5, 8, 13… It appears surprisingly often in nature, and its ratios approach the golden ratio.

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Key things to understand

  • 1Each number is the sum of the previous two (2+3=5, 3+5=8…).
  • 2It starts 0, 1, 1, 2, 3, 5, 8, 13, 21…
  • 3The ratio of consecutive terms approaches the golden ratio (~1.618).
  • 4It appears in flower petals, pinecones, and spiral shells.

Frequently asked questions

How does the Fibonacci sequence work?
Start with 0 and 1, then each new number is the sum of the two before it.
Where is the Fibonacci sequence found in nature?
In the arrangement of leaves, flower petals, pinecones, and spiral shells.
How is it related to the golden ratio?
As the sequence grows, the ratio of consecutive numbers gets closer and closer to the golden ratio.

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