Do you know the best part about mathematical sequences and series? Well, they hold a significant explanation for the placement of everything!
Fibonacci series in C++ is a mathematical sequences that are used in computer science concepts as well and is named after the inventor i.e. Fibonacci.
It holds great significance in Computer science and is hence implemented in various languages. Fibonacci in C++ is one of the most popular series used by developers. There are various problem statements for which the Fibonacci series is used in computer science.
But what is this series and how are the elements placed in it?
You will learn all about the Fibonacci series and its mathematical approach in this article. Each will make sure that each concept is clear to you through an appropriate example!
So, before moving any further, let's first have a look at what is the Fibonacci series in depth.
What do you mean by the Fibonacci series?
The Fibonacci series defines the elements starting from 0 and 1. In this series, every third element will be a sum of the first two elements till the chain (array) is executed completely.
Simply put, In the Fibonacci series, every element is equivalent or equal to the sum of terms lying before it.
Let's try to understand it with an example.
Assume that you have passed an array of 0,1,1,2 for the Fibonacci series.
The fifth element in this series will be the sum of the third and fourth elements i.e. 1 and two. Therefore, the fourth element in the series listed above becomes 1+2 i.e. 3.
You must be confused that according to the rule, the sum of the previous two terms is equal to the next term but this is not the case here!
Please note that in the Fibonacci series, all the elements will be placed after placing 0 and 1 on the first two positions.
Hence, in general, the standard format of every Fibonacci series becomes: 0,1, Element 1, element 2, and so on.
This is the mathematical explanation of the placement of each element in the Fibonacci series.
But do you think that there is only one way to create a Fibonacci series? Well, you must not know about the types of Fibonacci series yet!
Let's explore the different types of Fibonacci series and their functions in the next section.
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