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solutions/triangle_challenge/README.md

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+# Challenge: Triangular Sequence Formula
+
+## Description
+
+Write a function that defines the triangular number sequence
+with a formula
+and input ability in order to insert several different
+integer inputs
+
+The triangle sequence goes as follows:
+
+```python
+1, 3, 6, 10, 15 
+```
+
+It is a formula of ***n(n+1)/2*** where ***n***
+is any given number in the sequence (easier read as {1+2+3+4...})
+If you wanted to check for the 5th number of the sequence,
+It would look like 5(5+1)/2 = 15
+*Ex. Code*
+
+```python
+triangle(1) ➞ 1
+
+triangle(6) ➞ 21
+
+triangle(215) ➞ 23220
+```
+
+### Testing
+
+- Use assertion tests to check for integer inputs to
+ensure the right output is given
+
+### Helpful links
+
+- [Triangular Number Sequence Formula](https://www.mathsisfun.com/algebra/triangular-numbers.html)

solutions/triangle_challenge/main.py

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+"""
+Module for the Triangular number sequence and a code that can calculate it.
+
+Contents:
+- A formula that establishes the triangular number sequence n(n+1)/2
+- Code for the formula to be able to take input
+
+Created on 2025-01-03
+Author: Adolfo Fumero
+"""
+
+
+def triangle_side(n):
+    """
+    Calculate the nth triangular number.
+    Uses a formula of n(n+1)/2 to calculate the number of sides of the triangle in the sequence
+
+    Parameters:
+        n (int): The position in the triangular number sequence.
+
+    Returns:
+        int: The nth triangular number.
+
+    Raises:
+        If any value below 0 is input, it will throw an Error message
+        If any non-integer value is input also, same output will occur
+    """
+    if n < 1:
+        return "Input must be a positive integer."
+    return n * (n + 1) // 2
+
+
+# Example usage
+try:
+    user_input = int(
+        input("Enter an integer value for the triangular number sequence: ")
+    )
+    result = triangle_side(user_input)
+    print(f"The {user_input}th triangular number is: {result}")
+except ValueError:
+    print("Please enter a valid integer.")