code: 
  
  from __future__ import annotations
  def        __SCREAMING_SNAKE_CASE    (      a__						:      float | int ,a__						:      float | int ,a__						:      float | int ,)				->							list[float | int]:
  	if not all((nth_term, start_term_a, common_ratio_r)					):
  		return []
  	__A   : list[float | int]								= []
  	__A   : Dict								= 1
  	__A   : Tuple								= common_ratio_r
  	for _ in range(int(a__					)					):
  		if not series:
  			series.append(a__					)
  		else:
  			power += 1
  			series.append(float(start_term_a * multiple					)					)
  			__A   : int								= pow(float(a__					) ,a__					)
  	return series
  
  
  if __name__ == "__main__":
  			import doctest
  
  			doctest.testmod()
  
  			UpperCAmelCase_       :				Dict		   =      float(input('''Enter the last number (n term) of the Geometric Series'''))
  			UpperCAmelCase_       :				Union[str, Any]		   =      float(input('''Enter the starting term (a) of the Geometric Series'''))
  			UpperCAmelCase_       :				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))
  
  
  
  
  
  
style_context: 
  
  import unittest
  from pathlib import Path
  
  from transformers import is_vision_available, load_tool
  from transformers.testing_utils import get_tests_dir
  
  from .test_tools_common import ToolTesterMixin
  
  
  if is_vision_available():
  			from PIL import Image
  
  
  
  
  
  
  class     lowerCamelCase_			(  unittest.TestCase	,			_lowercase  ):
  
  
  
  
  	def 					lowerCAmelCase_					(    self	:    Dict       ):
  		__A   : str								= load_tool("""image-captioning"""       )
  		self.tool.setup()
  		__A   : Dict								= load_tool("""image-captioning"""				,			remote=__A       )
  
  
  
  
  	def 					lowerCAmelCase_					(    self	:    Optional[int]       ):
  		__A   : List[Any]								= Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""       )       ) / """000000039769.png"""       )
  		__A   : Optional[Any]								= self.tool(__A       )
  		self.assertEqual(__A				,			"""two cats sleeping on a couch"""       )
  
  
  
  
  	def 					lowerCAmelCase_					(    self	:    Dict       ):
  		__A   : Any								= Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""       )       ) / """000000039769.png"""       )
  		__A   : List[str]								= self.remote_tool(__A       )
  		self.assertEqual(__A				,			"""two cats sleeping on a couch"""       )
  
  
  
  
  	def 					lowerCAmelCase_					(    self	:    Union[str, Any]       ):
  		__A   : Optional[Any]								= Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""       )       ) / """000000039769.png"""       )
  		__A   : str								= self.tool(image=__A       )
  		self.assertEqual(__A				,			"""two cats sleeping on a couch"""       )
  
  
  
  
  	def 					lowerCAmelCase_					(    self	:    str       ):
  		__A   : Dict								= Image.open(Path(get_tests_dir("""fixtures/tests_samples/COCO"""       )       ) / """000000039769.png"""       )
  		__A   : List[Any]								= self.remote_tool(image=__A       )
  		self.assertEqual(__A				,			"""two cats sleeping on a couch"""       )
  
  
  
  
  
  