Fibonacci

Front

What is the Fibonacci sequence?

Back

A sequence of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. Example: 0, 1, 1, 2, 3, 5, 8, 13.

Front

Who is known as Fibonacci?

Back

Fibonacci is the nickname of Leonardo Pisano, an Italian mathematician.

Front

What is the significance of the Fibonacci sequence in nature?

Back

The Fibonacci sequence appears in various natural phenomena, such as the arrangement of leaves, the branching of trees, and the pattern of seeds in a sunflower.

Front

What book did Fibonacci write?

Back

Fibonacci wrote 'Liber Abaci', which translates to 'The Book of Calculations'.

Front

What is the formula to find the nth Fibonacci number?

Back

F(n) = F(n-1) + F(n-2), with seed values F(0) = 0 and F(1) = 1.

Front

What is the relationship between Fibonacci numbers and the golden ratio?

Back

As the Fibonacci sequence progresses, the ratio of consecutive Fibonacci numbers approaches the golden ratio (approximately 1.618).

Front

Can you give an example of a Fibonacci sequence starting from 1?

Back

1, 1, 2, 3, 5, 8, 13, 21.

Front

What animal did Fibonacci use to illustrate his sequence?

Back

Fibonacci used rabbits to illustrate his sequence in a problem about population growth.

Front

What is the first five numbers in the Fibonacci sequence?

Back

0, 1, 1, 2, 3.

Front

How does the Fibonacci sequence relate to the concept of recursion?

Back

The Fibonacci sequence is defined recursively, where each term is defined in terms of previous terms.