0,1,1,2,3,5,8,13,21,34.....
How you find this is by adding 0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, etc. So you just add the numbers next to each other, and keep on going as in my example.
We can find Fibonacci in a lot of places such as a tree, a spiral, a flower, etc.
If you were to go on with Fibonacci in a long line of numbers it would look like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ... and you can make it go as far as you want it to.
The Fibonacci rule
The Fibonacci Sequence can be written as a "Rule"
First, the terms are numbered from 0 onwards like this:
n= 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
xn= 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377
n = The Rule is Xn = xn-1 + xn-2
xn is term number "n"
xn-1 is the previous term (n-1)
xn-2 is the term before that (n-2)
Example if you put in the number 9.....
x9= x9-1 + x9-2
= x8 + x7
= 21 + 13
= 34