While the Fibonacci numbers may be the most widespread way in which people are aware of Fibonacci’s existence, they are not (at least in my opinion), his most important contribution to western mathematics. The sequence then continues indefinitely, and students are often surprised at how quickly the terms grow.īeyond the Fibonnaci numbers, there are some more interesting things about the mathematician for whom they are named, and how he fits in with the history of mathematics. After three months, these three pairs produce 2 additional pairs, resulting in a total of five. After another month, these two pairs produce another pair, resulting in a total of three pairs after two months. After a month, this pair of rabbits produces another pair, and now the total number of pairs is two. The popular story is that they were used by Fibonacci to model rabbit populations over a period of time – you start with one pair of rabbits, denoted by 1 as the first term of the sequence. Students often get their first introduction to the Fibonacci numbers when they first learn about sequences. There are some interesting things to note about Fibonnaci. By starting with 1 and 2, the first 10 terms will be:īy considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. Each new term in the Fibonacci sequence is generated by adding the previous two terms.
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