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The '''Fibonacci sequence''' is a series of numbers in which each number is the sum of the two preceding numbers, with the first two number are 0 and 1. The numbers are known as '''Fibonacci numbers'''.
The '''Fibonacci sequence''' is a series of numbers in which each number is the sum of the two preceding numbers, with the first two numbers being 0 and 1. The numbers are known as '''Fibonacci numbers'''.
'''Example:'''
'''Example:'''
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...
Written mathematically, the Fibonacci sequence <math>{F_n}</math> satisfies:
Written mathematically, the Fibonacci sequence <math>{F_n}</math> satisfies:
<math> F_0 = 1, F_1 = 1</math> and <math>F_{n} = F_{n-1} + F_{n-2}, \forall n \geq 2 </math>.
<math> F_0 = 0, F_1 = 1</math> and <math>F_{n} = F_{n-1} + F_{n-2}, \forall n \geq 2 </math>.
The Fibonacci numbers were first described by the Sanskrit linguist Pingala around the year 450 BC. They arose from the study of meters with long and short syllables.
The Fibonacci numbers were first described by the Sanskrit linguist Pingala around the year 450 BC. They arose from the study of meters with long and short syllables.