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Fibonacci sequence
A series of numbers in which each number is the sum of the two preceding numbers.
0, 1, 1, 2, 3, 5 . . . so on
Get nth term in Fibonacci sequence
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Generate sequence upto n terms
First mentioned by Indian mathematician Pingala. He used fibonacci numbers for enumerating all patterns of long and short syllables in sanskrit poems.
Fibonacci, a Italian mathematician mentioned this number sequence in his book Liber Abaci. He used rabbit reproduction example to introduce the generation of numbers in the sequence.
We can saw it in nature, how tree branches, leafs arranged. Fibonacci number series appear in biological settings such as branching of trees, arrangements of leaves, the fruit sprouts of a pineapple, an uncurling fern.
It has applications in design, engineering, stock markets, mathematics and etc.
Golden Ratio
Ratio of subsequent numbers in the Fibonacci series.
Golden ratio tend to produce beautiful patterns used in designing, engineering applications.