Write a C program to find Fibonacci series up to n The sequence is a Fibonacci series where the next number is the sum of the previous two numbers. The first two terms of the Fibonacci sequence is started from 0,1, Example: limit is Fibonacci series 8 Sequence is 0,1,1,2,3,5,8,13 Its followed on addition operation. What are C Fibonacci series and Fibonacci series logic? A series of numbers in which each sequent number is the sum of its two previous numbers is known as Fibonacci series and each number is called Fibonacci numbers. Algorithm for Fibonacci series. Fn = Fn-2 + Fn-1.
Fibonacci Sequence C Programming
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C/C Program for Fibonacci Series Using Recursion Series 0, 1, 1, 2, 3, 5, 8, 13, 21. Is a Fibonacci series. In Fibonacci series, each term is the sum of the two preceding terms. The C and C program for Fibonacci series using recursion is given below. Fibonacci Series Program in C Sometimes back, one of my user our website is asked to create a program in c to get the Fibonacci series of any given number. Additionally, I have also shared a program to get the Fibonacci series of first 15 numbers without using the recursion.
Fibonacci Series Program in C# with Examples
In this article, I am going to discuss the Fibonacci Series Program in C# with some examples. This is one of the most frequently asked C# written interview question. Please read our previous article where we discussed the Swapping Program with and without using the third variable in C#. As part of this article, we are going to discuss the following pointers.
What is the Fibonacci Series?
The Fibonacci series is nothing but a sequence of numbers in the following order:
The numbers in this series are going to starts with 0 and 1. The next number is the sum of the previous two numbers. The formula for calculating the Fibonacci Series is as follows:
F(n) = F(n-1) + F(n-2) where:
F(n) is the term number.
F(n-1) is the previous term (n-1).
F(n-2) is the term before that (n-2).
What are the different ways to implement the Fibonacci in C#?
In C#, we can print the Fibonacci Series in two ways. They are as follows:
- Iterative Approach
- Recursion Approach
Iterative Approach to Print Fibonacci Series in C#:
This is the simplest approach and it will print the Fibonacci series by using the length. The following program shows how to use iterative approach to print the Fibonacci Series in C#.
Output:
Recursive Approach to Print Fibonacci Series in C#:
In the Recursive Approach, we need to pass the length of the Fibonacci Series to the recursive method and then it will iterate continuously until it reaches the goal. Let us understand this with an example.
Output:
Fibonacci Numbers Website
How to find the nth Fibonacci number in the Fibonacci Series in C#?
It is also possible to print the nth Fibonacci number from the Fibonacci series in C#. The following example prints the nth number from the Fibonacci series.
Using Recursion:
Output:
You can observe that, in the above implementation, it does a lot of repeated work. So this is a bad implementation to find the nth Fibonacci number in the Fibonacci series. We can avoid this using the iterative approach.
Without Using Recursive Function:
Let us understand how to implement this with an example. Here we are not going to use the Recursive function.
Output:
How to Print the Fibonacci Series up to a given number in C#?
Now we will see how to print the How to Print the Fibonacci up to a given number in C#. Please have a look at the following program.
Output:
That’s it for today. Here, in this article, I try to explain the Fibonacci Program in C# with different ways. I hope you enjoy this article. In the next article, I am going to discuss the Prime Number Program in C# with some examples.
Lets write a C program to generate Fibonacci Series, using for loop.
Fibonacci Sequence C Program
Related Read:
Fibonacci Series using While loop: C Program
First Thing First: What Is Fibonacci Series ?
Fibonacci Series is a series of numbers where the first two Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two. Its recurrence relation is given by Fn = Fn-1 + Fn-2.
Below are a series of Fibonacci numbers(10 numbers):
0
1
1
2
3
5
8
13
21
34
How Its Formed:
0 <– First Number (n1)
1 <– Second Number (n2)
1 <– = 1 + 0
2 <– = 1 + 1
3 <– = 2 + 1
5 <– = 3 + 2
8 <– = 5 + 3
13 <– = 8 + 5
21 <– = 13 + 8
34 <– = 21 + 13
Video Tutorial: C Program To Generate Fibonacci Series using For Loop
Source Code: C Program To Generate Fibonacci Series using For Loop
Output:
Enter the number of terms to be printed
10
0
1
1
2
3
5
8
13
21
34
Logic To Generate Fibonacci Series using For Loop
We know that the first 2 digits in Fibonacci series are 0 and 1. So we directly initialize n1 and n2 to 0 and 1 respectively and print that out before getting into For loop logic. Since we’ve already printed two Fibonacci numbers, we assign 3 to loop control variable count and iterate through the for loop till count is less than or equal to the user entered number.
Inside For loop
As per definition of Fibonacci series: “..each subsequent number is the sum of the previous two.” So we add n1 and n2 and assign the result to n3 and display the value of n3 to the console.
Next, we step forward to get next Fibonacci number in the series, so we step forward by assigning n2 value to n1 and n3 value to n2.
For loop keeps repeating above steps until the count is less than or equal to the user entered number. If the user entered limit/count is 10, then the loop executes 8 times(as we already printed the first two numbers in the Fibonacci series, that is, 0 and 1).
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