Algorithms for a tricky math problems

counting.py

"""Synosis:
    This is the algorithm that address the
    following trick math question:

    1 + 4 = 5
    2 + 5 = 12
    3 + 6 = 21
    8 + 11 = ?

    However this algorithm can also find the solution for such

    132 + 135 = ???

"""


def counting(i, max_i):

    result = 0

    while i < max_i:

        result += 2*i + 3
        i +=1

    return result


  """Synosis:

        This is the algorithm that address the
        following trick math question:

        1 + 4 = 5
        2 + 5 = 12
        3 + 6 = 21
        8 + 11 = ?

        However this algorithm can find the solution for such

        132 + 135 = ???

"""

def Count(i, max_i):

    result = 0
    
    for j in range(i, max_i):

        result += 2*j + 3

    return result


if __name__ == '__main__':

    print Count(1, 132)