# Cube Sum of First 𝑛 Natural Numbers using Python

In this extensive blog post, we’ll explore how to create a Python program to calculate the cube sum of the first 𝑛 natural numbers. The article will cover the algorithm involved, provide the Python code for implementation, and include examples with corresponding outputs.

## Understanding the Algorithm

The algorithm for finding the cube sum of the first 𝑛 natural numbers is straightforward:

**Input 𝑛:**Accept the value of 𝑛, which represents the number of natural numbers.**Initialize Sum:**Set the sum to zero.**Iterate Through Natural Numbers:**Traverse through the natural numbers from 1 to 𝑛.**Calculate Cube and Add to Sum:**For each natural number, calculate its cube and add it to the sum.**Display the Result:**Print or display the final sum.

## Python Program for Cube Sum of First 𝑛 Natural Numbers

Let’s implement the algorithm in a Python program:

```
def cube_sum_of_natural_numbers(n):
cube_sum = 0
# Calculate cube sum
for i in range(1, n + 1):
cube_sum += i ** 3
return cube_sum
# Example: Calculate cube sum for first 5 natural numbers
n_value = 5
result = cube_sum_of_natural_numbers(n_value)
# Display the result
print(f"Cube Sum of First {n_value} Natural Numbers:", result)
```

## Output Example

### Example: Cube Sum of First 5 Natural Numbers

```
Cube Sum of First 5 Natural Numbers: 225
```

## Explanation

The Python program defines a function `cube_sum_of_natural_numbers`

that takes 𝑛 as input. It initializes the `cube_sum`

variable and iterates through natural numbers from 1 to 𝑛, adding the cube of each number to the sum. The final cube sum is then displayed.

## Conclusion

Calculating the cube sum of the first 𝑛 natural numbers is a mathematical operation that finds applications in various domains, including numerical analysis and computer science. This Python program offers a simple yet effective way to perform this calculation. Feel free to experiment with different values of 𝑛 to observe how the cube sum changes.

Understanding such mathematical computations is essential for building more complex algorithms and solving real-world problems. If you have any questions or need further clarification, please don’t hesitate to ask!