The Fibonacci sequence is a recursive series of numbers following the rule that any number is the sum of the previous two.
Since starting with 0 would result in an unending series of zeros, that is excluded. So, starting with 1, you get:
1, 1 (the second number is the sum of the previous 2. Since there was only one number, that IS the sum.
Now, the next number in the series (after 1, 1) is the sum of those numbers. 1 + 1 is 2.
Now you have the first 3 numbers in the sequence. Following the rule that any subsequent number is the sum of the previous 2, you get:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... and so on.
1 = the first number
1 = 0 (there was no number before the 1) +1
2 = 1+1
3 = 2 + 1
5 = 3 + 2
8 = 5 + 3
13 = 8 + 5
Ad infinitum...
The Fibonacci numbers can be applied to many areas of art and mathematics, and are most closely associated with the Golden Ratio. Click on the related question below for more information:
Leonardo Fibonacci discovered the number sequence which is named after him.
The 9th number in the Fibonacci Sequence is 34, and the 10th number in the Fibonacci sequence is 89.
There is the Fibonacci sequence but what is the Fibonacci code?
Leonardo Fibonacci was the father and creator of the fibonacci sequence a very famous mathematic sequence
The 16th number of the Fibonacci sequence is 987.
Leonardo Fibonacci discovered the number sequence which is named after him.
The 9th number in the Fibonacci Sequence is 34, and the 10th number in the Fibonacci sequence is 89.
There is the Fibonacci sequence but what is the Fibonacci code?
Leonardo Fibonacci was the father and creator of the fibonacci sequence a very famous mathematic sequence
The 16th number of the Fibonacci sequence is 987.
The 20th Fibonacci number in the sequence is 6,765.
The Fibonacci sequence requires two numbers as "seeds".
Yes.
42
The 9th term of the Fibonacci Sequence is 34Fibonacci Sequence up to the 15th term:1123581321345589144233377610
Start with 1 and 2. Then each number in the Fibonacci sequence is the sum of the previous two numbers in the sequence.
The Fibonacci sequence requires two initial numbers to be specified.