
import math




def 		A						(  SCREAMING_SNAKE_CASE							):




			"""simple docstring"""


			UpperCAmelCase__		:Tuple 		=    math.log(2     ,						10							) * number
			UpperCAmelCase__		:str 		=    round((log_number - int(SCREAMING_SNAKE_CASE							))     ,						15							)

			return difference




def 		A						(  SCREAMING_SNAKE_CASE = 678910							):




			"""simple docstring"""


			UpperCAmelCase__		:List[str] 		=    90
			UpperCAmelCase__		:Union[str, Any] 		=    0

			UpperCAmelCase__		:Optional[Any] 		=    math.log(1.23     ,						10							)
			UpperCAmelCase__		:Optional[Any] 		=    math.log(1.24     ,						10							)
			UpperCAmelCase__		:str 		=    0

			while position < number:
						UpperCAmelCase__		:Union[str, Any] 		=    log_difference(SCREAMING_SNAKE_CASE							)

						if difference >= upper_limit:
									power_iterator += 93

						elif difference < lower_limit:
									power_iterator += 196

						else:
									UpperCAmelCase__		:Dict 		=    power_iterator
									power_iterator += 196
									position += 1

			return previous_power


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						print(f"""{solution() = }""")







from __future__ import annotations




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						):




			"""simple docstring"""


			if not all((nth_term, start_term_a, common_ratio_r)							):
						return []
			UpperCAmelCase__		:list[float | int] 		=    []
			UpperCAmelCase__		:str 		=    1
			UpperCAmelCase__		:Any 		=    common_ratio_r
			for _ in range(int(SCREAMING_SNAKE_CASE							)							):
						if not series:
									series.append(SCREAMING_SNAKE_CASE							)
						else:
									power += 1
									series.append(float(start_term_a * multiple							)							)
									UpperCAmelCase__		:str 		=    pow(float(SCREAMING_SNAKE_CASE							)     ,						SCREAMING_SNAKE_CASE							)
			return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__snake_case					:							Optional[int]           =							float(input('Enter the last number (n term) of the Geometric Series'))
						__snake_case					:							List[str]           =							float(input('Enter the starting term (a) of the Geometric Series'))
						__snake_case					:							Optional[int]           =							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))





