# Python Program for Triangular Matchstick Number

## Introduction

Triangular matchstick numbers are a sequence of numbers that represent a triangular pattern formed using matchsticks. Each number in the sequence corresponds to the total number of matchsticks required to form a triangle with a certain number of layers. The pattern resembles a triangle made of matchsticks, and the number of matchsticks increases with each layer.

## Understanding the Algorithm

The algorithm for generating triangular matchstick numbers involves calculating the total number of matchsticks needed to form triangles with different numbers of layers. Here’s a step-by-step breakdown:

## Python Program for Triangular Matchstick Numbers

Now, let’s implement the algorithm in a Python program:

def triangular_matchstick_number(n):
# Calculate triangular matchstick number using the formula
matchsticks = (n * (n + 1)) // 2
return matchsticks

# Example: Calculate triangular matchstick number for 5 layers
n_value = 5
matchstick_result = triangular_matchstick_number(n_value)

# Display the result
print(f"Triangular Matchstick Number for {n_value} Layers:", matchstick_result)


## Output Example

### Example: Triangular Matchstick Number for 5 Layers

Triangular Matchstick Number for 5 Layers: 15


## Explanation

The Python program defines a function triangular_matchstick_number that takes as input and calculates the triangular matchstick number using the given formula. The result is then displayed.

## Conclusion

Triangular matchstick numbers provide an interesting pattern that can be represented using a simple formula. This Python program allows you to calculate the total number of matchsticks needed to form a triangular pattern with a specified number of layers. Experiment with different values of to explore how the matchstick numbers grow.

Understanding and implementing mathematical patterns in programming enhance problem-solving skills and creativity. If you have any questions or need further clarification, feel free to ask!