![]() That has saved us all a lot of trouble! Thank you Leonardo.įibonacci Day is November 23rd, as it has the digits "1, 1, 2, 3" which is part of the sequence. On the graph of y 4x2 12x + 9, we can see that the graph cuts the x-axis in one place only, at x 1.5. We can also say that this is a repeated root, since we are expecting 2 roots. "Fibonacci" was his nickname, which roughly means "Son of Bonacci".Īs well as being famous for the Fibonacci Sequence, he helped spread Hindu-Arabic Numerals (like our present numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) through Europe in place of Roman Numerals (I, II, III, IV, V, etc). (12+-sqrt(144-144))/8 12/8 1.5 So it means we only have one root. His real name was Leonardo Pisano Bogollo, and he lived between 11 in Italy. Historyįibonacci was not the first to know about the sequence, it was known in India hundreds of years before! Which says that term "−n" is equal to (−1) n+1 times term "n", and the value (−1) n+1 neatly makes the correct +1, −1, +1, −1. In fact the sequence below zero has the same numbers as the sequence above zero, except they follow a +-+. (Prove to yourself that each number is found by adding up the two numbers before it!) ![]()
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