Sum of a Special Number Series

Introduction

In this project, you will learn how to calculate the sum of the first N (N >= 6) terms of a special number series. This series is defined by the following pattern:

\frac{2}{1} + \frac{3}{2} + \frac{5}{3} + \frac{8}{5} + \frac{13}{8} + \frac{21}{13} + ...

The numerators of this series are the Fibonacci numbers (2, 3, 5, 8, 13, 21, ...), and the denominators are also the Fibonacci numbers (1, 2, 3, 5, 8, 13, ...).

👀 Preview

$ python3 sum_fib.py
Enter the value of n: 6
Sum of the special series: 10.00705

$ python3 sum_fib.py
Enter the value of n: 20
Sum of the special series: 32.66026

$ python3 sum_fib.py
Enter the value of n: 45
Sum of the special series: 73.11111

🎯 Tasks

In this project, you will learn:

• How to understand the problem statement and requirements for the project
• How to implement the sum_fib function to calculate the sum of the first N terms of the number series
• How to test the sum_fib function by running the sum_fib.py script
• How to explain the logic behind the sum_fib function and the underlying Fibonacci number series

🏆 Achievements

After completing this project, you will be able to:

• Understand and solve problems related to number series and mathematical sequences
• Implement functions to perform calculations on complex number series
• Test and validate your code to ensure it meets the project requirements
• Explain the logic behind your solutions and the underlying mathematical concepts