📅 Date: Jan 29, 2026
🔥 Topic: Logic Building: Fibonacci Series

🌀 The Sequence of Nature

The Fibonacci series is a sequence where the next number is the sum of the previous two numbers.
0, 1, 1, 2, 3, 5, 8, 13, 21...

Logic: Next = (Prev) + (PrevPrev)

📊 Dry Run

Let's print first 5 terms:

  • Start with a=0, b=1. Print them.
  • next = 0+1 = 1. (Update: a=1, b=1)
  • next = 1+1 = 2. (Update: a=1, b=2)
  • next = 1+2 = 3. (Update: a=2, b=3)

💻 Day 29 Code

#include <iostream>
using namespace std;

int main() {
    int n = 10; // Number of terms
    int t1 = 0, t2 = 1;
    int nextTerm;

    cout << "Fibonacci Series: ";

    for (int i = 1; i <= n; ++i) {
        // Print the first term
        cout << t1 << " ";

        // Calculate next
        nextTerm = t1 + t2;
        
        // Update previous terms for next round
        t1 = t2;
        t2 = nextTerm;
    }

    return 0;
}

💭 Thoughts

This was tricky to implement at first because updating `t1` and `t2` has to be done in the correct order. This series appears everywhere in nature, from sunflowers to galaxies!