MR. essays

MR. essays Different types of Numbers and their Properties In 1202 Fibonacci wrote a text called Liber Abaci. The following question was posed.  ¡A man puts one pair of rabbits in a certain place entirely surrounded by a wall. How many pairs of rabbits can be produced from that pair in a year, if the nature of these rabbits is such that every month each pair bears a new pair which from the second month becomes productive? ¡ (http://primes.utm.edu/glossary/page.php'sort=FibonacciNumber) The number of pairs of rabbits in the nth month begins 1, 1, 2, 3, 5, 8, 13, 21, ... where each term is the sum of the two terms preceding it. Mathematicians define this sequence recursively as follows: u1 = u2 = 1 and un+1 = un + un-1 (n > 2) This sequence, now called the Fibonacci sequence, has an amazing number of applications in nature and art; it also has a tremendous number of interesting properties which is reason enough for the journal "The Fibonacci Quarterly" to exist. The Fibonacci Series can easily be described as a series of whole numbers which progresses by adding the previous number to present one to make the next number in the series. So if we start by adding 2 to 1, = 3, then 3 +2=5 and 5+3 = 8....... and the familiar series unfolds. A Fibonacci prime, is a Fibonacci number that is prime number. By recalling the Fibonacci numbers can be defined as follows: u1 = u2 = 1 and un+1 = un + un-1 ( ...