In the previous article, we have discussed Python Program to Print Series 0 2 6 12 20 30 42…N

Given a number N and the task is to find the sum of series** (5^2+10^2+15^2+…..N^2)** till the given number N in Python.

**Examples:**

**Example1:**

**Input:**

Given Number (Limit) = 25

**Output:**

The above given series sum = 1375

**Example2:**

**Input:**

Given Number (Limit) = 14

**Output:**

The above given series sum = 125

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## Program to Find Sum of Series 5^2+10^2+15^2+…..N^2 in Python

Below are the ways to find the sum of series** (5^2+10^2+15^2+…..N^2)** till the given number N in Python:

### Method #1: Using While Loop (Static Input)

**Approach:**

- Import math module using the import keyword.
- Give the number N (Limit) as static input and store it in a variable.
- Take a variable to say
**itr**and initialize its value to 5. - Take another variable to say
**rsltseries_summ**and initialize its value to 0. - Loop until the above-declared variable itr value is less than or equal to the given number using the while loop.
- Calculate the value of itr raised to the power 2 (square) using the pow() function and store it in another variable.
- Add the above result to the
**rsltseries_summ**and store it in the same variable. - Increment the above itr value by 5.
- Print the sum of series till the given number N.
- The Exit of the Program.

**Below is the implementation:**

# Import math module using the import keyword. import math # Give the number N(limit) as static input and store it in a variable. gvn_numb = 25 # Take a variable to say itr and initialize its value to 5. itr = 5 # Take a variable to say rsltseries_summ and initialize its value to 0. rsltseries_summ = 0 # Loop until the above-declared variable itr value is less than or equal to the # given number using the while loop. while(itr <= gvn_numb): # Calculate the value of itr raised to the power 2 (square) using the pow() function # and store it in another variable. k = pow(itr, 2) # Add the above result to the rsltseries_summ and store it in the # same variable. rsltseries_summ += k # Increment the above itr value by 5. itr += 5 print("The above given series sum = ", rsltseries_summ)

**Output:**

The above given series sum = 1375

### Method #2: Using While loop (User Input)

**Approach:**

- Import math module using the import keyword.
- Give the number N (Limit) as user input using the int(input()) function and store it in a variable.
- Take a variable to say
**itr**and initialize its value to 5. - Take another variable to say
**rsltseries_summ**and initialize its value to 0. - Loop until the above-declared variable itr value is less than or equal to the given number using the while loop.
- Calculate the value of itr raised to the power 2 (square) using the pow() function and store it in another variable.
- Add the above result to the
**rsltseries_summ**and store it in the same variable. - Increment the above itr value by 5.
- Print the sum of series till the given number N.
- The Exit of the Program.

**Below is the implementation:**

# Import math module using the import keyword. import math # Give the number N (Limit) 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 to say itr and initialize its value to 5. itr = 5 # Take a variable to say rsltseries_summ and initialize its value to 0. rsltseries_summ = 0 # Loop until the above-declared variable itr value is less than or equal to the # given number using the while loop. while(itr <= gvn_numb): # Calculate the value of itr raised to the power 2 (square) using the pow() function # and store it in another variable. k = pow(itr, 2) # Add the above result to the rsltseries_summ and store it in the # same variable. rsltseries_summ += k # Increment the above itr value by 5. itr += 5 print("The above given series sum = ", rsltseries_summ)

**Output:**

Enter some Random Number = 14 The above given series sum = 125

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