The sequence 1, 1, 2, 3, 5, ..., is used in mathematical programming to find the interval containing the minimizer of a function of one variable.
Fibonacci was the founder of the Fibonacci Sequence, in which each number is found by adding together the two before it. The first few numbers are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
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1,1,2,3,4,5,13,17,19,23,25,27,the fibonacci sequence all three
He was a Mathematician, who discovered the Fibonacci sequence, Fibonacci polynomials, Fibonacci Pseudoprime, Reciprocal Fibonacci Constant, and many more things. His dad wanted him to be a wealthy merchant. He was amazingly good in math.
Fibonacci is important because he introduced the Arabic number system to Europe. His sequence is much less important - it is mainly a mathematical curiosity.
Fibonacci brought Arabic Numerals to the western world.His "sequence" is pretty cool, too. . .. ... ..... ....... ............. .................... ................................. ..................................................... ......................................................................................
The 20th Fibonacci number in the sequence is 6,765.