If yes, then you have landed at the right place. Fibonacci Sequence is a type of sequence where every number is the sum of the two that pre-exist it. The sum of Fibonacci numbers usually begins with 0 and 1.
There are four types of sequences: Fibonacci sequence, arithmetic sequence, harmonic sequence, and geometric sequence.
The numbers in the Fibonacci sequence are also known as Fibonacci numbers. In Mathematics, the series is explained as an ordered list of the sum of Fibonacci numbers that follow a special pattern.
In this blog, we will talk about the history of Fibonacci numbers, what Fibonacci numbers are, the combination sum, and the mathematical magic of Fibonacci numbers in detail.
History
Leonardo of Pisa was a 12th-century Italian mathematician, who described the term Fibonacci series to define the ordered sequence of numbers.
0,1,1,2,3,5,8,13,21,34,55,89,144….
Each number in the sequence is known as a Fibonacci Number. This series was given by Fibonacci as the solution to a rabbit breeding problem: “A man has a couple of rabbits in a closed space and wants to know many are born from this couple in a year. According to nature, each pair needs one month to grow and each other month develops another pair.”
What are Fibonacci Numbers?
The Fibonacci numbers or Fibonacci sequence, is termed as the sequence of numbers in which each number in the sequence is equal to the sum of two numbers before it.
The Fibonacci number is given below:
Fibonacci Number = 0, 1, 1, 2, 3, 5, 8, 13, 21, ….
Here, the third number “1” is received by adding the first and second numbers.
Similarly, “2” is received by adding the second and third number
“3” is received by adding the third and fourth number
For example, 34 is the next number after 21 but how? By adding the numbers (13+21). This is why the next number in the series is 34.
The Magic of Fibonacci Numbers
Do you know how Fibonacci numbers become magical numbers? In this section, we will discuss it in detail.
Fibonacci numbers come out in different contexts in our circumstances, for example, the number of seeds in a fruit, the branches of a tree, etc. In fact, the fairness of a human face is based on the Golden Ratio whose power creates the nth Fibonacci number.
Before moving, let’s also understand what Golden Ratio is?
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