



"""simple docstring"""


def 					_lowerCAmelCase (  lowercase_						,      lowercase_		):
						if n < 0:
												return 0
						# table[i] represents the number of ways to get to amount i
						UpperCAmelCase			 =					[0] * (n + 1)

						# There is exactly 1 way to get to zero(You pick no coins).
						UpperCAmelCase			 =					1

						# Pick all coins one by one and update table[] values
						# after the index greater than or equal to the value of the
						# picked coin
						for coin_val in s:
												for j in range(lowercase_						,      n + 1		):
																		table[j] += table[j - coin_val]

						return table[n]


if __name__ == "__main__":
				import doctest

				doctest.testmod()










from __future__ import annotations


def 						UpperCAmelCase__   (   UpperCAmelCase__			:float | int			,       UpperCAmelCase__			:float | int			,       UpperCAmelCase__			:float | int			,       ):






 '''simple docstring'''

 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()

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

