Fibonacci sequence

Related to Golden ratio

Sequence of numbers in which each number is the sum of it's two preceding numbers. Binet's formula shows that the ratio of two consecutive numbers tends towards the golden ratio as the sequence progresses. Fibonacci numbers appear unexpectedly often in biology, having been observed in branching of trees, the arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bracts.

Formula

Sequence begins with:

Articles:

• Fibonacci sequence on Wikipedia
• Fibonacci Sequence on Math Is Fun
• Fibonacci Number on Wolfram MathWorld