What is the Fibonacci Sequence?

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.

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