L4 higher-order function

"""this is the thinking process of how to generalize the functions"""
1) write out all the functions
2. find common pattern
3. abstract the common pattern and formulate individual pattern"""


def sum_naturals(n):
        """ sum of first n nature numbers"""
        total = 0
        i = 1
        while i <= n:
            total += i
            i = i + 1
        return total

def sum_squares(n):
    """sum of first n squares"""
    total = 0
    i = 1
    while i <=n:
        total += i**
        i = i + 1 
    return total

"""DRY method"""

def summation(n, term):               //term is a function here
    """sum the first n terms of summation
    >>> summation(5, cube)
    225
    """
    total = 0
    i = 1
    while i <= n:
        total = total + term(i)
        i = i + 1
    return total

def identity(n) :
  return n;

def cube(n):
  return pow(n, 3)