Program to Find Sum of Series (1+(1+2)+(1+2+3)+...till N)

Python Program to Find Sum of Series (1+(1+2)+(1+2+3)+…till N)

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In the previous article, we have discussed Python Program to Swap Upper Diagonal Elements with Lower Diagonal Elements of Matrix.

Given a number N and the task is to find the sum of the given series (1+(1+2)+(1+2+3)+…till N) for the given number in Python.

Examples:

Example1:

Input:

Given Number = 25

Output:

The total sum of the series till the given number { 25 } =  2925

Example2:

Input:

Given Number = 18

Output:

The total sum of the series till the given number { 18 } =  1140

Program to Find Sum of Series (1+(1+2)+(1+2+3)+…till N) in Python

Below are the ways to find the sum of the given series (1+(1+2)+(1+2+3)+…till N) for the given number in Python

Method #1: Using While Loop (Static Input)

Approach:

  • Give the number N as static input and store it in a variable.
  • Take a variable say resltsum which gives the sum of the given series till N and initialize its value to 0.
  • Take another variable say k and initialize its value with 1.
  • Loop until the value of k is less than or equal to the given number using the while loop.
  • Inside the loop, iterate from 1 to the value of k using the for loop.
  • Add the iterator value to the above-initialized resltsum and store it in the same variable resltsum.
  • Increment the value of k by 1 outside the for loop.
  • Print the resltsum value which is the result of the series till the given Number N.
  • The Exit of the Program.

Below is the implementation:

# Give the number N as static input and store it in a variable.
gvn_numb = 25
# Take a variable say resltsum which gives the sum of the given series till N and
# initialize its value to 0.
resltsum = 0
# Take another variable say k and initialize its value with 1.
k = 1
# Loop until the value of k is less than or equal to the given number using the while loop.
while(k <= gvn_numb):
  # Inside the loop, iterate from 1 to the value of k using the for loop.
    for itr in range(1, k+1):
      # Add the iterator value to the above-initialized resltsum and store it in the same
        # variable resltsum.
        resltsum += itr
  # Increment the value of k by 1 outside the for loop.
    k += 1
# Print the resltsum value which is the result of the series till the given Number N.
print(
    "The total sum of the series till the given number {", gvn_numb, "} = ", resltsum)

Output:

The total sum of the series till the given number { 25 } =  2925

Method #2: Using While loop (User Input)

Approach:

  • Give the number N as user input using the int(input()) function and store it in a variable.
  • Take a variable say resltsum which gives the sum of the given series till N and initialize its value to 0.
  • Take another variable say k and initialize its value with 1.
  • Loop until the value of k is less than or equal to the given number using the while loop.
  • Inside the loop, iterate from 1 to the value of k using the for loop.
  • Add the iterator value to the above-initialized resltsum and store it in the same variable resltsum.
  • Increment the value of k by 1 outside the for loop.
  • Print the resltsum value which is the result of the series till the given Number N.
  • The Exit of the Program.

Below is the implementation:

# Give the number N as user input using the int(input()) function and
# store it in a variable.
gvn_numb = int(input("Enter some Random Number = "))
# Take a variable say resltsum which gives the sum of the given series till N and
# initialize its value to 0.
resltsum = 0
# Take another variable say k and initialize its value with 1.
k = 1
# Loop until the value of k is less than or equal to the given number using the while loop.
while(k <= gvn_numb):
  # Inside the loop, iterate from 1 to the value of k using the for loop.
    for itr in range(1, k+1):
      # Add the iterator value to the above-initialized resltsum and store it in the same
        # variable resltsum.
        resltsum += itr
  # Increment the value of k by 1 outside the for loop.
    k += 1
# Print the resltsum value which is the result of the series till the given Number N.
print(
    "The total sum of the series till the given number {", gvn_numb, "} = ", resltsum)

Output:

Enter some Random Number = 18
The total sum of the series till the given number { 18 } = 1140

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