![]() How many rabbits will exist after one year? Assume rabbits never die and the female rabbits always produce two rabbits with different gender. Putting a pair of two new born rabbits(one male and one femal) in a wild, their mate age is one month and it took female rabbit one mouth to give a birth. (Fibonacci mentioned it in Liber Abaci in 1202.) The rule for Fibonacci sequence would be x n=x n-1+x n-2 (for example, the third number is 0+1=1 the forth number is 1+1=2 the fifth number is 1+2=3.) The next number is by adding the former two numbers and keep doing it for later numbers. The first two numbers in the Fibonacci sequence are 0,1. If you want to know more about him, here is a link described his life story: en./wiki/Fibonacci ![]() In 1202, Fibonacci introduced this sequence on his book Liber Abaci. ![]() That’s enough definitions for sequence let’s get start on the special kind of sequence, Fibonacci sequence. Most sequences we are dealing with in math class have rules, so we can find the value of elements in the sequences. A sequence can be infinite or finite depends on the number inside is infinite or finite. Another trait, which differ sequence with set, is that one number may appear more than once in a sequence. A sequence of numbers is a set of numbers with an order (unlike in a set, order really matters in a sequence!). However, before starting my topic, I would like to briefly discuss it. You guys must be familiar with sequences from a few past class lectures. In this page, I am going to talk about one special sequence of numbers called Fibonacci sequence and its application.
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