
from __future__ import annotations




def 						A_			(				snake_case				: float | int			,   snake_case				: float | int			,   snake_case				: float | int			,   )   ->     list[float | int]:



						'''simple docstring'''

						if not all((nth_term, start_term_a, common_ratio_r)			):
												return []
						__UpperCamelCase  	=      []
						__UpperCamelCase  	=      1
						__UpperCamelCase  	=      common_ratio_r
						for _ in range(int(snake_case			)			):
												if not series:
																		series.append(snake_case			)
												else:
																		power += 1
																		series.append(float(start_term_a * multiple			)			)
																		__UpperCamelCase  	=      pow(float(snake_case			)			,   snake_case			)
						return series


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				lowercase__				:				Dict						=      float(input("Enter the last number (n term) of the Geometric Series"))
				lowercase__				:				Optional[Any]						=      float(input("Enter the starting term (a) of the Geometric Series"))
				lowercase__				:				Any						=      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))










def       lowerCAmelCase_      (	lowerCamelCase:							str    )       ->      int:


      '''simple docstring'''




      lowerCamelCase__   	=					str(lowerCamelCase    ).strip()
      if not bin_string:
            raise ValueError('Empty string was passed to the function'    )
      lowerCamelCase__   	=					bin_string[0] == '-'
      if is_negative:
            lowerCamelCase__   	=					bin_string[1:]
      if not all(char in '01' for char in bin_string    ):
            raise ValueError('Non-binary value was passed to the function'    )
      lowerCamelCase__   	=					0
      for char in bin_string:
            lowerCamelCase__   	=					2 * decimal_number + int(lowerCamelCase    )
      return -decimal_number if is_negative else decimal_number


if __name__ == "__main__":
      from doctest import testmod

      testmod()