what is fibonacci series

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. It is named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci. The sequence commonly starts from 0 and 1, although some authors start it from 1 and 1 or from 1 and 2. The sequence begins with 0, 1, and then continues as 1, 2, 3, 5, 8, 13, 21, 34, and so on. The sequence has various applications in mathematics, nature, and finance, and it is often associated with the golden ratio