Fibonacci Numbers Trivia Quiz

Answer: Leonardo da Pisa

Leonardo was born in Pisa, Italy, the place that houses the famous Leaning Tower. His Italian name was Leonardo Pisano.

Answer: Rabbit

He posted this question: There is initially a pair of rabbits (one male, one female) on the first month. That pair of rabbits will become mature and mate at the end of 2 months to produce another pair of rabbits (also one male and one female). The process continues and no rabbits die. So, how many pairs of rabbits are there after a year?

To solve this problem, let F(n) be a function which represents the number of pairs of rabbits at the end of each month, where n is month.

Clearly, F(1) = 1, F(2) = 1, F(3) = 1 + 1 = 2.

F(4) = 1 + 2 = 3.
The general equation is F(n) = F(n-1) + F(n-2).


Continue this and we will get the followings:
F(5) = 2 + 3 =5
F(6) = 3 + 5 =8
F(7) = 5 + 8 =13
F(8) = 8 + 13 = 21
F(9) = 13 + 21 = 34
F(10) = 21 + 34 = 55
F(11) = 34 + 55 = 89
F(12) = 55 + 89 =144

Finally, we will get F(12) = 144.

Answer: 144

The 12th Fibonacci number is 144, and it is also interesting to note that 12 is the square root of 144. Other than that, another interesting fact is that 5 is the 5th Fibonacci number.

Answer: 1

The only 5-digit Fibonacci prime is the number 28657. The next Fibonacci prime after 28657 is a 6-digit number, namely 514229.

Answer: Phi (1.618...)

Phi is known as the golden ratio. It is an irrational number and its value can be obtained algebraically by solving the quadratic equation x^2-x-1 = 0.

Answer: 3.359...

The first few Fibonacci numbers are 1, 1, 2, 3, 5... The sum of the reciprocals of the first 5 Fibonacci numbers are 1/1 + 1/1 + 1/2 + 1/3 + 1/5 = 3.0333... So, 3.359 is the best answer. To be exact, the reciprocal Fibonacci constant is 3.3598856664...

Answer: Binet's Fibonacci formula

Nowadays, this equation is known as the Binet's Fibonacci formula, even though this formula was known earlier to Abraham de Moivre, another great mathematician.

Answer: The Pascal's triangle

The first line of the Pascal's triangle contains the sole number 1. On its second line, there are two 1's written under the first line. Three numbers, namely 1, 2 and 1 appear on the third line. The number 2 on the third line is found by adding up two 1's from the second line. Every line of the Pascal's triangle starts and ends with a 1. Continue the process and we will get 1, 3, 3, 1 and 1, 4, 6, 4, 1 for the fourth and fifth line respectively. By adding up the numbers that are located on each diagonal line (also known as the "shallow diagonal") that is drawn through this Pascal's triangle, we will obtain the list of Fibonacci numbers.

Answer: "The Da Vinci Code"

A museum curator, Jacques Sauniere was found dead in Louvre Museum, Paris with some numbers scribbled on the floor. These numbers turned out to be the famous Fibonacci numbers. The man's granddaughter, Sophie Neveu, a cryptographer, finally managed to decipher the clue and this led her to another clue. "The Da Vinci Code" has sold over 30 million copies worldwide.

Answer: True

For example, many species of nautilus shells exhibit these beautiful patterns, which are associated with the intriguing Fibonacci spirals.