C Program to Generate Fibonacci Series

1. Introduction

The Fibonacci series is a sequence of numbers where each number is the sum of the two preceding ones. It usually starts with 0 and 1. This series has extensive applications in mathematics and computer science, ranging from algorithm analysis to modeling natural phenomena. In this blog post, we'll create a C program to generate the Fibonacci series for a given length.

2. Program Overview

The progression of our program will be:

1. Prompt the user to specify the length of the Fibonacci series they desire.

2. Display the Fibonacci series of the specified length.

3. Code Program

#include <stdio.h>  // Integrate the Standard I/O library for input and output functionalities

int main() {  // The main function, marking the beginning of our program

    int n, t1 = 0, t2 = 1, nextTerm;
    printf("Enter the number of terms for Fibonacci series: ");
    scanf("%d", &n);  // Capture the user's input for the length of the series

    printf("Fibonacci Series: ");

    for (int i = 1; i <= n; ++i) {
        printf("%d, ", t1);
        nextTerm = t1 + t2;  // Compute the next term
        t1 = t2;  // Move to the next
        t2 = nextTerm;  // Move to the next's next
    }

    return 0;  // Signal the successful conclusion of the program
}

Output:

Enter the number of terms for Fibonacci series: 7
Fibonacci Series: 0, 1, 1, 2, 3, 5, 8,

4. Step By Step Explanation

1. #include <stdio.h>: By including this header, we can leverage essential input/output functions like printf and scanf.

2. int main(): Every C program starts from the main function.

3. Variables t1, t2, and nextTerm: These variables are used to generate the Fibonacci series. t1 and t2 represent the current and next terms in the series, while nextTerm is used to store the sum of the last two terms.

4. User input: The user specifies how many terms of the Fibonacci series they want to see.

5. Generating the Fibonacci series:

- The program initializes with t1 as 0 and t2 as 1.

- In each iteration of the loop:

1. The current term (t1) is printed.
2. nextTerm is calculated as the sum of t1 and t2.
3. For the next iteration, t1 is updated to the value of t2, and t2 is updated to the value of nextTerm.

This program gives a simple and concise method to generate the Fibonacci series for a given length, showcasing the power of loops in sequence generation.