



from __future__ import annotations


def 		_UpperCAmelCase    (				snake_case     ,						snake_case     ,						snake_case     ,						):





     """simple docstring"""

     if not all((nth_term, start_term_a, common_ratio_r)      ):
          return []
     _lowerCAmelCase      =   []
     _lowerCAmelCase      =   1
     _lowerCAmelCase      =   common_ratio_r
     for _ in range(int(A_      )      ):
          if not series:
               series.append(A_      )
          else:
               power += 1
               series.append(float(start_term_a * multiple      )      )
               _lowerCAmelCase      =   pow(float(A_      )     ,						A_      )
     return series


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 A__     				=	float(input("""Enter the last number (n term) of the Geometric Series"""))
 A__     				=	float(input("""Enter the starting term (a) of the Geometric Series"""))
 A__     				=	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))








from math import exp


def 		_UpperCAmelCase    (				snake_case      ):





					"""simple docstring"""

					return 8 * x - 2 * exp(-x      )


def 		_UpperCAmelCase    (				snake_case     ,						snake_case     ,						snake_case      ):





					"""simple docstring"""

					_lowerCAmelCase      =   lower_bound
					_lowerCAmelCase      =   upper_bound
					for _ in range(0     ,						snake_case      ):
										_lowerCAmelCase     ,     _lowerCAmelCase      =   xa, xa - (f(snake_case      ) * (xa - xa)) / (f(snake_case      ) - f(snake_case      ))
					return xa


if __name__ == "__main__":
	print(f"Example: {secant_method(1, 3, 2)}")



