What is the Fibonacci sequence and how does it work?
Tags: java, python, fibonacci
Published: 2022-09-09 06:50:19

Have you ever noticed the veins of the leaves or counted the petals of a flower? If yes, then you might have noticed that every petal formation or the veins of the leaves follow a specific pattern. 

Wondering what is it? Well, it is the Fibonacci sequence. This is a series of numbers which follows a specific pattern. 

Every consecutive number in a Fibonacci series is the result of a sum of the two previous numbers. 

For example a Fibonacci series would go something like:

0,1,2,2,4,6,10,16…..

In terms of mathematics, the Fibonacci sequence is represented by the initials Fn. You might have already guessed why that is. This sequence was named after a mathematician who first derived the series who was also known as Fibonacci. 

Since the Fibonacci series follows a specific pattern, you can actually print n number of digits using the series. 

This implies the fact that the Fibonacci series can be printed till an infinite number of digits. 

The Python Fibonacci series is also a similar concept. You can print the Fibonacci series using coding languages such as Java and Python. 

In this blog we will be discussing the Fibonacci series at length and find out how you can use the sequence to print during your coding exam. 

## What do you mean by the Fibonacci series?
 
The Fibonacci series in Java is the sequence of numbers which is characterised by starting with the number 0. If you observe a Fibonacci sequence you will find that every third digit of the series is the sum of the previous two digits. 

Consider the following Fibonacci series as an example:

0,1,2,2,4,6,10,16…..

Observing the numbers in the sequence you will find that every third number is derived by adding up the previous two numbers. The only catch is that every Fibonacci sequence starts with 0. 

The progression of the series will remain exactly the same no matter which problem you have been given to solve. 

## How does printing of the Fibonacci sequence work?
 
Printing the [Fibonacci series using the Java programming language](https://www.codingninjas.com/codestudio/library/fibonacci-series-in-java) is easier than you think. Keep in mind that you will always have to start with the value of 0 and move forwards. 

The versatility of the Java programming language is what makes it one of the top choices for the computer programmers. The concepts of Java are not only easier to grasp but also fun to execute. 

We are here to discuss the process of printing the Fibonacci series. With our discussion thus far, you must have surely understood the basis of progression of the Fibonacci series. 

Let us consider an example to better understand the concept:

**Example**

We will start by taking into account two different levels i.e 0 and 1 which are equal to a and b respectively. Since the Fibonacci series in Java begins with 0 we have to consider that as base level.

We will also consider a level c which will be used to store the value of 0 since the Fibonacci series always starts with the same level. 

Now, consider the last value of the series n. This is the value till which we have to print the Fibonacci series. 

The objective of the question is to figure out the value of n. This is the point till which the program will be executed to print the series in its full format. 

In order to solve the problem, all you have to do is run the value of n and you will be able to figure out the exact sequence of the series.

Just remember the basics and print the sequence based on your observation. Start at the base level and move forward until you figure out the value of n. 

## Attributes of the Fibonacci series that you may not be aware of

The [Python Fibonacci series](https://www.codingninjas.com/codestudio/library/fibonacci-series-in-python) or Java series as we know it might seem mundane. But that is definitely not the case if you get to learn the true aspects of the series. 

Recalling what we have briefly mentioned, the Fibonacci sequence is followed by the laws of nature in almost every biological creation. 

Check out some of the lesser known attributes of the Fibonacci series:

**The Golden ratio**

The infamous Fibonacci sequence is often related with the golden ratio of 1:1:6. Why you may ask? 

Well this exact ratio can be found in numerous perspectives of nature such as the veins of the leaves. Architecture, designing web interfaces, the use of the golden ratio are endless. 

**Present in the nature**

Although the Fibonacci series is a mathematical sequence, it is also highly prevalent in the world of biology. Mathematics and Biology alike, the Fibonacci sequence definitely stands at the conjecture of the of the two dimensions. 

Present in the distribution of the flower petals, the Fibonacci sequence is often considered to be in the form of a spiral. 

**Continues till infinity**

Although this might not have been ever tried by the computer geeks or geniuses, the Fibonacci sequence has the potential to continue till infinity. 

This is possible due to the nature of the Fibonacci sequence. Since every third digit of the series is the sum of the first two, you can print the series to any digit you are trying to attain. 

Does this pique your interest with regards to the Fibonacci sequence? We have discussed this time and again that the concepts of Java definitely has the potential to garv your interest. 

If you are just starting with the programming language we would suggest to start with printing the Fibonacci series. 

## Conclusion

The key take away from the blog is certainly that the Fibonacci series is present in the laws of nature that we might have commonly failed to notice. 

This sequence is not only important to the field of computer science but, for biology and architecture as well. 

For printing the Fibonacci sequence in Java, one only needs to keep in mind the fact that the series must always begin with 0.