# Learn Python – Program of Cumulative sum in python- Basic and advance

What is the cumulative sum?

The cumulative sum potential “how much so far”. The definition of the cumulative sum is the sum of a given sequence that is growing or getting larger with more additions. The actual example of a cumulative sum is the growing quantity of water in a swing pool.

Example:

``````Input: 10, 15, 20, 25, 30
Output: 10, 25, 45, 70, 100

Input: 1, 2, 3, 4, 5 6, 7 ,8, 9, 10
Output: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
``````

Program: 1

``````# Cumulative sum
def Cumulative_sum(lists):
cum_list = []
lenlength = len(lists)
cum_list = [sum(lists[0:x:1]) for x in range(0, length+1)]
return cum_list[1:]

lists = [10, 15, 20, 25, 30]
print (Cumulative_sum(lists))
``````

Output:

``10, 25, 45, 70, 100``

Program: 2

``````list=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
cum_list=[]
y = 0
for x in range(0,len(list)):
y+=list[x]
cum_list.append(y)

print(cum_list)
``````

Output:

``1, 3, 6, 10, 15, 21, 28, 36, 45, 55``

Program 3: User define program

``````i = []
n = int(input("enter the no of elements in list:"))
for x in range(0,n):
element=int(input("enter the element" + str(x+1) + ":"))
i.append(element)
j=[sum(i[0:x+1]) for x in range(0,len(i))]
print("Original list is: ",i)
print("Cumulative sum list is: ",j)
``````

Output:

``````enter the no of elements in list: 10
enter the element1: 2
enter the element2: 3
enter the element3: 8
enter the element4: 6
enter the element5: 45
enter the element6: 32
enter the element7: 56
enter the element8: 32
enter the element9: 14
enter the element10: 25
Original list is: [2, 3, 8, 6, 45, 32, 56, 32, 14, 25]
Cumulative sum list is: [2, 5, 13, 19, 64, 96, 152, 184, 198, 223]``````