N is a Fibonacci number if and only if ( 5*N2 + 4 ) or ( 5*N2 – 4 ) is a perfect square! For Example: 3 is a Fibonacci number since (5*3*3 + 4) is 49 which is 7*7. 5 is a Fibonacci number since (5*5*5 – 4) is 121 which is 11*11.

Here are some examples.

• Flower petals. The number of petals in a flower consistently follows the Fibonacci sequence.
• Seed heads. The head of a flower is also subject to Fibonaccian processes.
• Pinecones.
• 4. Fruits and Vegetables.
• Tree branches.
• Shells.
• Spiral Galaxies.
• Hurricanes.

An egg laid by the queen, those are not fertilized by a male bee; forms a male worker bee. Hence for a particular bee’s ancestry, it will always have a “fibonacci number” of ancestors for a particular earlier generation.

55
the tenth Fibonacci number is Fib(10) = 55. The sum of its digits is 5+5 or 10 and that is also the index number of 55 (10-th in the list of Fibonacci numbers).

Fibonacci number. Definition: A member of the sequence of numbers such that each number is the sum of the preceding two. The first seven numbers are 1, 1, 2, 3, 5, 8, and 13.

Fibonacci Number Formula. The Fibonacci numbers are generated by setting F 0 = 0, F 1 = 1, and then using the recursive formula. F n = F n-1 + F n-2 . to get the rest. Thus the sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.. This sequence of Fibonacci numbers arises all over mathematics and also in nature.

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)