Sequence of numbers in which the first two terms are 1 and 1, and for which the general term is
μ[latex]_{n}[/latex] =
μ[latex]_{n – 2}[/latex] +
μ[latex]_{n – 1}[/latex].
The first 15 terms of the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610.
Historical Note
This sequence is named after
Leonardo Fibonacci who, in a recreational problem posed in the book
Liber abaci, published in 1202, described the growth of a population of rabbits: "A man puts a pair of rabbits in an area that is closed off on all sides by a wall. How many pairs will there be in one year if each pair produces one new pair every month after the third month of its existence?"