


from itertools import combinations, product






def      _lowercase(				__a							:	int						,    __a							:	int						,    __a							:	int						,    __a							:	int    ):
       if xa == ya == 0 or xa == ya == 0:
              return False
       a__     						=xa * xa + ya * ya
       a__     						=xa * xa + ya * ya
       a__     						=(xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
       return (
           a_square + b_square == c_square
           or a_square + c_square == b_square
           or b_square + c_square == a_square
       )






def      _lowercase(				__a							:	int = 50    ):
       return sum(
           1
           for pta, pta in combinations(product(range(limit + 1    )						,    repeat=2    )						,    2    )
           if is_right(*__a						,    *__a    )    )


if __name__ == "__main__":
 print(F"""{solution() = }""")





from __future__ import annotations






def      _lowercase(				__a							:	float | int						,    __a							:	float | int						,    __a							:	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(__a    )    ):
														if not series:
																					series.append(__a    )
														else:
																					power += 1
																					series.append(float(start_term_a * multiple    )    )
																					a__     						=pow(float(__a    )						,    __a    )
							return series


if __name__ == "__main__":
	import doctest

	doctest.testmod()

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

