# Fibonacci sequence

In mathematics, the Fibonacci sequence is a sequence of integers in which each successive integer is the sum of the previous two. The sequence begins with 0 and 1, and the next integer in the sequence is always the sum of the previous two.

The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Fibonacci popularized the Hinduâ€“Arabic numeral system in the Western World with his book Liber Abaci, which introduced the sequence to European mathematicians in the 13th century.

The Fibonacci sequence has been used in art, music, and architecture, and has applications in biology, physics, and engineering. What are the first 10 numbers in the Fibonacci sequence? The Fibonacci sequence is a sequence of integers in which each successive integer is the sum of the previous two. The first 10 numbers in the Fibonacci sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, and 34. What is the Fibonacci of 5? The Fibonacci of 5 is 5.

#### How do you find the Fibonacci sequence?

The Fibonacci sequence is a sequence of numbers in which each number is the sum of the previous two numbers in the sequence. The first two numbers in the sequence are 0 and 1, and the sequence continues from there.

To find the Fibonacci sequence, start with 0 and 1, and then add the two numbers together to get the next number in the sequence. So, the next number in the sequence would be 1 (0 + 1), then 2 (1 + 1), then 3 (1 + 2), and so on.

How is the Fibonacci sequence used in real life? The Fibonacci sequence is used in many different ways in real life. One way it is used is to help calculate the Golden Ratio, which is often found in nature and used in design. The Fibonacci sequence is also used in art, music, and architecture. It can also be used to model growth patterns in populations of animals.

Why are Fibonacci numbers important? Fibonacci numbers are important because they appear in nature and in mathematical problems. For example, the Fibonacci sequence appears in the growth of a rabbit population, the arrangement of a pine cone's scales, and the spiral of a nautilus shell. Fibonacci numbers also appear in the Golden Ratio, which is a ratio of two numbers that is often found in nature and in art.