what is the fibonnachi sequence?

Question

what is the actual thing?

Answer 1

It is a sequence that starts 1 1 with each succeeding term equal to the sum of the prior 2.
1 1 2 3 5 8 13 ....

Answer 2

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...

The Fibonacci sequence is defined as a sequence in which each number is the sum of the two preceding it. Traditionally the first two numbers are 0 and 1, but similar sequences can be formed which begin with other numbers. I'm not sure whether these are also referred to as Fibonacci sequences or not.

Answer 3

It is an exponential function of the "golden measure" which can be arrived at by adding the last two (positive) whole numbers in the sequence to get the new number.

e.g.:

0 1 1 2 3 5 8 13 21 34 55 89 ...

but you can start with any arbitrary pair of positive whole numbers.

After a while, the ratio will approximate phi, the golden measure number which fulfills the following equation:

1 / (1+phi) = phi = 0.619etc

Answer 4

fibonacci sequence is a sequence of numbers where the next number is the sum of previous 2 numbers...

like 1 2 3(2+1) 5(2+3) 8(3+5) 13(5+8) 21(8+13) 44(13+21)...

Answer 5

The classic Fibonacci sequence: In short, start with 0 and 1, add them together to get your next number, then keep adding the last two numbers together for your next one. It’s a wonderful sequence, and it’s one that is repeated in nature (most famously in nautilus shells).

The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, etc.

Answer 6

The Fibonacci Sequence? Well, at its most basic level it's a mathematical sequence, interesting because it's almost impossible to find a formula for. The next number in the sequence equals the sum of the last two, like this:
1, 1, 2, 3, 5, 8, 13, 21
This means that, basically speaking, you'll get the next number in the sequence if you times it by 1.618 approx. (discounting the first, of course).
However, it's especially interesting because it is everywhere:
1. Find how tall you are. Measure the distance from the floor to your belly button. Times that by 1.6 and you'll get your height. This works on anyone.
2. Measure your arm from the shoulder to the tip of your middle finger. THen measure from the tip of your middle finger to your elbow- times that by 1.6 and you'll get the length or your arm.
3. In nature it works exactly the same way as a curled shell. Google it if you don't believe me.
4. Flag proportions are always based on Fibonacci.
It's scary! It's everywhere! Almost everything that has a longer length and a shorter length is based on Fibonacci. It's apparently built into our brains by nature as a strong way of making something and also aesthetically pleasing because, as I said, it's everywhere in nature.
It's really interesting - look it in a book sometime or wikipedia or something. It works on so many seemingly unrelated things!

Answer 7

You have enough answers explaining the sequence but I wonder what was your reason for the question? If you are thinking of using as a basis for a staking system in some game of chance ie roulette I very strongly advise against it,this plan has been tried by many now poor people a loosing run soon gets you in to trouble. delboy

Answer 8

The Fibonacci numbers are 1,1,2,3,5,8,13,21 ...

Fibonacci was presented with a problem regarding rabbits breeding and that is where the sequence comes from.

Have a look here

http://www.educ.queensu.ca/~fmc/may2002/RabFib.htm

Answer 9

fibonnachi sequence is a sequence of number which the third number is the sumation of first number and second number, and so on.
Xn+1 = Xn-1 + Xn

1,1,2,3,5,8,13,21,...

Answer 10

a non repeating maths pattern