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Fibonacci Numbers

Crafted by Trivia Architect Matthew_07

Fun Trivia : Quizzes : Specific Math Topics : Fibonacci Numbers

Introduction:
"Fibonacci numbers are claimed to be the nature?s numbering system. How much do you know about them? Have fun and thanks for playing."


1. The first few Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13? These numbers are named after Fibonacci, whose real name is?
    Leonardo da Vinci
    Leonardo da Pisa
    Leonardo Dicaprio
    Leonardo da Euler


2. The Fibonacci numbers were first introduced in Fibonacci?s book, ?Liber abaci? in a question to find the population of an animal at a particular time. What animal did he use?
    Bee
    Sheep
    Deer
    Rabbit


3. Which is the first square number that appears on the list of Fibonacci numbers?
    100
    121
    144
    169


4. A Fibonacci number is said to be a Fibonacci prime if it is a prime number. For example, 2, 3, 5, 13 and 89. There are only 3 one-digit and 2 two-digit Fibonacci primes. Other examples of Fibonacci primes are 233 and 1597. 233 is the only 3-digit Fibonacci prime and 1597 is also the case for the 4-digits. How many 5-digit Fibonacci prime(s) is/are there?
    0
    3
    2
    1


5. Let F(n) be the function of the Fibonacci numbers, where F(n) is the nth term of the Fibonacci numbers. The limit of F(n+1)/F(n) when n approaches infinity, or the ratios of successive Fibonacci numbers, converges to a well-known constant. Which constant is it?
    Pi (3.141?)
    1/e (0.367?)
    e (2.718?
    Phi (1.618?)


6. The sum of all of the reciprocals of Fibonacci numbers (excluding 0), which is known as the reciprocal Fibonacci constant was proved to be an irrational number by Richard Andre-Jeannin. This constant?s value is? (Hint: Find the sum of the reciprocals for the first few Fibonacci numbers.)
    2.359?
    1.359?
    0.359?
    3.359?


7. Rather than adding up 2 successive numbers, there exists an easier way to find the value of nth term of a Fibonacci number. Suppose that we want to find the value of the 100th Fibonacci number. We just need to replace the value of n with 100 in the equation [phi^n - (1-phi)^n] / surd(5). This formula is known as? (surd means square root of)
    Chebyshev?s Fibonacci formula
    Riemann?s Fibonacci formula
    Fermat?s Fibonacci formula
    Binet?s Fibonacci formula


8. Which useful number diagram can also be used to generate a list of Fibonacci numbers?
    The Polo?s triangle
    The Pentagram?s triangle
    The Pascal?s triangle
    The Pierre?s triangle


9. The Fibonacci numbers appeared in one of Dan Brown?s novels. These numbers were arranged randomly and they were the password to an account that eventually revealed a very important detail that was unknown to mankind. Which novel was it?
    ?Digital Fortress?
    ?Angels and Demons?
    ?The Da Vinci Code?
    ?Deception Point?


10. Fibonacci spirals (generated by drawing a quarter-circle in each box, where a larger box lays adjacent to a smaller one, and the lengths of these boxes are Fibonacci numbers) are claimed to appear in the arrangements and patterns of fruits, vegetables, pine cones, seed heads and shells.
    True
    False


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