Python Program for Triangular Matchstick Number

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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!

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