How does the Fibonacci sequence relate to the golden ratio?

  • The Fibonacci sequence is unrelated to the golden ratio.
  • The golden ratio is the difference between Fibonacci numbers.
  • The golden ratio is the sum of Fibonacci numbers.
  • The ratio of consecutive Fibonacci numbers converges to the golden ratio.
The Fibonacci sequence is intimately connected to the golden ratio. As you progress in the sequence, the ratio of consecutive Fibonacci numbers converges to the golden ratio, approximately 1.6180339887. This relationship adds a layer of elegance to both concepts.
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