Fibonacci+Number


 * Fibonacci Sequence**

= = The first 15 numbers in the fibonnaci sequence are 1=1, 2=1, 3=2, 4=3, 5=5, 6=8, 7=13, 8=21, 9=34, 10=55, 11=89, 12=144, 13=233, 14=377, 15=610 To work out the next number in the sequence we need to add the number before it and the number two before it, ie for the 8th number we need to add the number before it 13 and the number two before it 8. We get 21 therefore the 8th number in the fibonacci sequence is 21. This can be explain in a formula as n(the number) + n1( the next number) =n2( the number two after the the number).

This equasion can be used to predict rabbit populations. In the image below it starts with two rabbits, but as they are not one month old yet they cannot breed. After the first month they are able to breed and create another pair of rabbits. After the next month the first pair can breed again and create another two but because the pair that came from pair one are less than a month old they are unable to breed. This cycle will continue in the same way. We need to work out the amount of rabbits in the next month. There are five possible pair that can breed in the 5th month, three of them are more than one month old and can breed. Therefore another three pair will be made and in the next month there will be a total of 8 pairs of rabbits.



The Fibonacci sequence can be found in Pascal's triangle by adding up the numbers along a line at a certain angle. According to this image which show how to get the fibonacci seqence the 8th and 9th number are the same as when worked it out by using our formula. Another way to look at it is to always include the number 1 on the left side but on the right side you go throught the month for the number but to get the next number after the first you go between the number one.