Harmonic Geometric and P-Series Added (#1633)

* Harmonic Geometric and P-Series Added

* Editing comments

* Update and rename series/Geometric_Series.py to maths/series/geometric_series.py

* Update and rename series/Harmonic_Series.py to maths/series/harmonic_series.py

* Update and rename series/P_Series.py to maths/series/p_series.py

maths/series/p_series.py

@@ -0,0 +1,48 @@
+"""
+This is a pure Python implementation of the P-Series algorithm
+https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)#P-series
+
+For doctests run following command:
+python -m doctest -v p_series.py
+or
+python3 -m doctest -v p_series.py
+
+For manual testing run:
+python3 p_series.py
+"""
+
+
+def p_series(nth_term: int, power: int) -> list:
+    """Pure Python implementation of P-Series algorithm
+
+    :return: The P-Series starting from 1 to last (nth) term
+
+    Examples:
+    >>> p_series(5, 2)
+    [1, '1/4', '1/9', '1/16', '1/25']
+    >>> p_series(-5, 2)
+    []
+    >>> p_series(5, -2)
+    [1, '1/0.25', '1/0.1111111111111111', '1/0.0625', '1/0.04']
+    >>> p_series("", 1000)
+    ''
+    >>> p_series(0, 0)
+    []
+    >>> p_series(1, 1)
+    [1]
+    """
+    if nth_term == "":
+        return nth_term
+    nth_term = int(nth_term)
+    power = int(power)
+    series = []
+    for temp in range(int(nth_term)):
+        series.append(f"1/{pow(temp + 1, int(power))}" if series else 1)
+    return series
+
+
+if __name__ == "__main__":
+    nth_term = input("Enter the last number (nth term) of the P-Series")
+    power = input("Enter the power for  P-Series")
+    print("Formula of P-Series => 1+1/2^p+1/3^p ..... 1/n^p")
+    print(p_series(nth_term, power))