




'''simple docstring'''
from __future__ import annotations
def 							snake_case_    (  a__						:      float | int       ,a__						:      float | int       ,a__						:      float | int       ,):



    """simple docstring"""




    if not all((nth_term, start_term_a, common_ratio_r)     ):
        return []
    __lowercase     							=		[]
    __lowercase     							=		1
    __lowercase     							=		common_ratio_r
    for _ in range(int(a__     )     ):
        if not series:
            series.append(a__     )
        else:
            power += 1
            series.append(float(start_term_a * multiple     )     )
            __lowercase     							=		pow(float(a__     )       ,a__     )
    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				: str					      =			float(input("""Enter the starting term (a) of the Geometric Series"""))
  A				: List[str]					      =			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))










'''simple docstring'''
def 							snake_case_    (  a__						:      int     ):



    """simple docstring"""




    __lowercase     							=		1
    __lowercase     							=		0
    __lowercase     							=		1
    __lowercase     							=		1
    __lowercase     							=		3
    __lowercase     							=		3
    __lowercase     							=		limit
    __lowercase     							=		0

    __lowercase     							=		""""""
    while counter != decimal + 1:
        if 4 * q + r - t < n * t:
            result += str(a__     )
            if counter == 0:
                result += "."

            if decimal == counter:
                break

            counter += 1
            __lowercase     							=		10 * (r - n * t)
            __lowercase     							=		((10 * (3 * q + r)) // t) - 10 * n
            q *= 10
            __lowercase     							=		nr
        else:
            __lowercase     							=		(2 * q + r) * l
            __lowercase     							=		(q * (7 * k) + 2 + (r * l)) // (t * l)
            q *= k
            t *= l
            l += 2
            k += 1
            __lowercase     							=		nn
            __lowercase     							=		nr
    return result
def 							snake_case_    (  ):



    """simple docstring"""




    print(f'{calculate_pi(50     ) = }'     )
    import doctest

    doctest.testmod()


if __name__ == "__main__":
  main()




