NCERT Computer Science Class #11 – Chapter #6 Solutions – Q #11

Chapter #6 – Flow of Control

Class 11 – Chapter 6 Solutions – PROGRAMMING EXERCISES #6

Write a program to find the sum of 1+ 1/8 + 1/27……1/n³, where n is the number input by the user.

Python Program:

def sum_of_series(n):
    total_sum = 0.0
    for i in range(1, n + 1):
        total_sum += 1 / (i ** 3)
    return total_sum

# Get user input
try:
    n = int(input("Enter a positive integer value for n: "))
    if n <= 0:
        print("Please enter a positive integer.")
    else:
        result = sum_of_series(n)
        print(f"The sum of the series up to n={n} is: {result:.6f}")
except ValueError:
    print("Invalid input. Please enter an integer.")

You can checkout the code from Github here – Programming Exercises – 6

Explanation of the Code:

1.	Function Definition: The sum_of_series function takes an integer n as 
        input and initializes total_sum to store the cumulative sum.
2.	Loop: It iterates from 1 to n, calculating each term as 1 / i3 and adding 
        it to total_sum.
3.	User Input: The program prompts the user to enter a positive integer value 
        for n. It checks if the input is valid and positive.
4.	Output: If valid, it calls the function and prints the calculated sum 
        formatted to six decimal places.

Example Output:

Enter a positive integer value for n: 5
The sum of the series up to n=5 is: 1.185662

NCERT Computer Science Class 11 Chapter 6 Solutions Q 11