






'''simple docstring'''







class 					__UpperCAmelCase :

      '''simple docstring'''





      def __init__(					self						):
             UpperCAmelCase__	:   Tuple												=	[0, 1]




      def 							lowerCamelCase     (					self  ,		_UpperCAmelCase						):





             if (difference := index - (len(self.sequence						) - 2)) >= 1:
                    for _ in range(_UpperCAmelCase						):
                           self.sequence.append(self.sequence[-1] + self.sequence[-2]						)
             return self.sequence[:index]






def  lowerCAmelCase__		(					)   -> None:
       print(
           '''Fibonacci Series Using Dynamic Programming\n'''			,						'''Enter the index of the Fibonacci number you want to calculate '''			,						'''in the prompt below. (To exit enter exit or Ctrl-C)\n'''			,						sep=''''''			,						)
       UpperCAmelCase__	:   Dict												=	Fibonacci()

       while True:
              UpperCAmelCase__	:   str												=	input('''>> '''			)
              if prompt in {"exit", "quit"}:
                     break

              try:
                     UpperCAmelCase__	:   int												=	int(__SCREAMING_SNAKE_CASE			)
              except ValueError:
                     print('''Enter a number or \'exit\''''			)
                     continue

              print(fibonacci.get(__SCREAMING_SNAKE_CASE			)			)


if __name__ == "__main__":
  main()

'''simple docstring'''
from __future__ import annotations







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





  """simple docstring"""

  if not all((nth_term, start_term_a, common_ratio_r)			):
    return []
  __A		:  list[float | int]       				=		[]
  __A		:  Union[str, Any]       				=		1
  __A		:  List[str]       				=		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			)			)
      __A		:  List[str]       				=		pow(float(__SCREAMING_SNAKE_CASE			)      ,  __SCREAMING_SNAKE_CASE			)
  return series


if __name__ == "__main__":
     import doctest

     doctest.testmod()

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



