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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? |
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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? |
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3.
Which is the first square number that appears on the list of Fibonacci numbers? |
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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? |
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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? |
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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.) |
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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) |
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8.
Which useful number diagram can also be used to generate a list of Fibonacci numbers? |
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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? |
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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. |
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