code: 
  
  
  
  
  
  
  from __future__ import annotations
  
  
  def 							SCREAMING_SNAKE_CASE					(  _UpperCAmelCase							,     _UpperCAmelCase							,     _UpperCAmelCase							,     )    ->  list[float | int]:
  
  
  
  
  
  
  
  						if not all((nth_term, start_term_a, common_ratio_r)				):
  												return []
  						_a     =			[]
  						_a     =			1
  						_a     =			common_ratio_r
  						for _ in range(int(_UpperCAmelCase				)				):
  												if not series:
  																		series.append(_UpperCAmelCase				)
  												else:
  																		power += 1
  																		series.append(float(start_term_a * multiple				)				)
  																		_a     =			pow(float(_UpperCAmelCase				)							,     _UpperCAmelCase				)
  						return series
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  		lowercase_								=    float(input('Enter the last number (n term) of the Geometric Series'))
  		lowercase_								=    float(input('Enter the starting term (a) of the Geometric Series'))
  		lowercase_								=    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))
  
  
  
style_context: 
  
  
  import math
  
  
  def 							SCREAMING_SNAKE_CASE					(  _UpperCAmelCase				)    ->  float:
  						_a     =			math.log(2							,     10				) * number
  						_a     =			round((log_number - int(_UpperCAmelCase				))							,     15				)
  
  						return difference
  
  
  def 							SCREAMING_SNAKE_CASE					(  _UpperCAmelCase = 678910				)    ->  int:
  						_a     =			90
  						_a     =			0
  
  						_a     =			math.log(1.23							,     10				)
  						_a     =			math.log(1.24							,     10				)
  						_a     =			0
  
  						while position < number:
  												_a     =			log_difference(_UpperCAmelCase				)
  
  												if difference >= upper_limit:
  																		power_iterator += 93
  
  												elif difference < lower_limit:
  																		power_iterator += 196
  
  												else:
  																		_a     =			power_iterator
  																		power_iterator += 196
  																		position += 1
  
  						return previous_power
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  		print(f"""{solution() = }""")
  
  
  