Unlocking the Secrets of the Fibonacci Sequence with C++

The Magic of the Fibonacci Sequence

This captivating series is characterized by each term being the sum of the two preceding terms. The sequence begins with 0 and 1, setting the stage for a mesmerizing pattern.

Example 1: Unleashing the Fibonacci Series

Let’s explore a program that generates the Fibonacci sequence up to a specified number of terms. The output will reveal the harmony of this mathematical wonder:

#include <iostream>

int main() {
    int n;
    std::cout << "Enter the number of terms: ";
    std::cin >> n;

    int t1 = 0, t2 = 1;
    std::cout << "Fibonacci Series: ";
    for (int i = 1; i <= n; ++i) {
        std::cout << t1 << " ";
        int nextTerm = t1 + t2;
        t1 = t2;
        t2 = nextTerm;
    }
    std::cout << std::endl;
    return 0;
}

The output will display the Fibonacci sequence up to the specified number of terms:

Enter the number of terms: 10
Fibonacci Series: 0 1 1 2 3 5 8 13 21 34

Diving Deeper: Generating the Fibonacci Sequence Up to a Certain Number

Now, let’s create a program that generates the Fibonacci sequence up to a specific number. The output will showcase the sequence’s unique properties:

#include <iostream>

int main() {
    int maxVal;
    std::cout << "Enter the maximum value: ";
    std::cin >> maxVal;

    int t1 = 0, t2 = 1;
    std::cout << "Fibonacci Sequence: ";
    while (t1 <= maxVal) {
        std::cout << t1 << " ";
        int nextTerm = t1 + t2;
        t1 = t2;
        t2 = nextTerm;
    }
    std::cout << std::endl;
    return 0;
}

The output will display the Fibonacci sequence up to the specified maximum value:

Enter the maximum value: 100
Fibonacci Sequence: 0 1 1 2 3 5 8 13 21 34 55 89

By harnessing the power of C++ programming, we’ve unlocked the secrets of the Fibonacci sequence, revealing its intricate beauty and versatility.