hi...
we are studying the different types of descrete math...and i need to write about the rabbits reproducing problem...
i need information on how the numbers go 1,1,2,3,5,8...
http://answers.yahoo.com/question/index?qid=20080310161416AAHGkXt
http://www.goldenmuseum.com/0401Fibonacci_engl.html
Hi! It looks like you are interested in learning about the sequence 1, 1, 2, 3, 5, 8... This sequence is known as the Fibonacci sequence. To understand how the numbers in this sequence are obtained, let me explain the concept behind it.
The Fibonacci sequence is defined using a recurrence relation, which means each term in the sequence is obtained by adding the two previous terms. The first two terms are typically taken as 1, and from there on, you can calculate each subsequent term by adding the two preceding terms.
Here's how it works:
1. Start with the first two terms: 1, 1.
2. To calculate the next term, add the two previous terms: 1 + 1 = 2.
3. To calculate the next term, again add the two previous terms: 1 + 2 = 3.
4. Continuing this pattern, the next term is obtained by adding the last two terms: 2 + 3 = 5.
5. Repeat this process to generate more terms: 3 + 5 = 8, 5 + 8 = 13, and so on.
So, in this way, the Fibonacci sequence is built by repeatedly adding the two previous terms. This pattern continues indefinitely, generating a sequence of numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.
The Fibonacci sequence is observed in various aspects of nature, art, and mathematics and is considered an interesting example in the field of discrete mathematics. I hope this explanation helps you with your study on the rabbits reproducing problem!