



"""simple docstring"""







from __future__ import annotations


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase   ,				__UpperCAmelCase   ,				__UpperCAmelCase   ,				):
		if not all((nth_term, start_term_a, common_ratio_r)      ):
				return []
		_lowercase				: list[float | int]     =   []
		_lowercase				: Optional[int]     =   1
		_lowercase				: int     =   common_ratio_r
		for _ in range(int(__UpperCAmelCase      )      ):
				if not series:
						series.append(__UpperCAmelCase      )
				else:
						power += 1
						series.append(float(start_term_a * multiple      )      )
						_lowercase				: Optional[int]     =   pow(float(__UpperCAmelCase      )   ,				__UpperCAmelCase      )
		return series


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		UpperCAmelCase:  Any			     =				float(input("""Enter the last number (n term) of the Geometric Series"""))
		UpperCAmelCase:  Optional[Any]			     =				float(input("""Enter the starting term (a) of the Geometric Series"""))
		UpperCAmelCase:  Dict			     =				float(
		    input("""Enter the common ratio between two terms (r) of the Geometric Series""")
		)
		print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
		print(geometric_series(nth_term, start_term_a, common_ratio_r))







'''simple docstring'''






import os






def 						_A					() ->	int:




     '''simple docstring'''



     _a         =				os.path.dirname(os.path.realpath(lowerCAmelCase__		)		)
     _a         =				os.path.join(lowerCAmelCase__					,    'triangle.txt'		)

     with open(lowerCAmelCase__		) as in_file:
          _a         =				[[int(lowerCAmelCase__		) for i in line.split()] for line in in_file]

     while len(lowerCAmelCase__		) != 1:
          _a         =				triangle.pop()
          _a         =				triangle[-1]
          for j in range(len(lowerCAmelCase__		) - 1		):
               curr_row[j] += max(last_row[j]					,    last_row[j + 1]		)
     return triangle[0][0]


if __name__ == "__main__":
 print(solution())

