Python Program to Find the Sum of Series 1+X+X^2/2...+X^N/N

In the previous article, we have discussed Python Program to Find the Sum of Series 1+X+X^3…+X^N

Given the numbers, N and X and the task is to find the sum of the given series (1+X+X^2/2…+X^N/N) for the given numbers in Python.

Examples:

Example1:

Input:

Given Number = 7
Given X value = 6

Output:

The total sum of the series till the given number N and x value { 7 6 } =  49743.05714285714

Example2:

Input:

Given Number = 4
Given X value = 3

Output:

The total sum of the series till the given number N and x value { 4 3 } =  37.75

Program to Find the Sum of Series 1+X+X^2/2…+X^N/N in Python

Below are the ways to find the sum of the given series (1+X+X^2/2…+X^N/N) for the given numbers in Python :

Using While Loop (Static Input)
Using While loop (User Input)

Method #1: Using While Loop (Static Input)

Approach:

Give the number N as static input and store it in a variable.
Give the value of X as static input and store it in another variable.
Take a variable say resltsum which gives the sum of the given series till N and initialize its value to 1.0 (to get in float format).
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, calculate the value of X raised to the power k divided by k using the pow() function and store it in a variable say p.
Add the above value of p to the resltsum and store it in the same variable resltsum .
Increment the value of k by 1 and store it in the same variable k.
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 = 7
# Give the value of X as static input and store it in another variable.
gvn_x_val = 6
# Take a variable say resltsum which gives the sum of the given series till N and
# initialize its value to 1.0 (to get in float format).
resltsum = 1.0
# 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, calculate the value of X raised to the power k divided by k using the
    # pow() function and store it in a variable say p.
    p = pow(gvn_x_val, k)/k
  # Add the above value of p to the resltsum and store it in the same variable resltsum.
    resltsum += p
 # Increment the value of k by 1 and store it in the same variable k.
    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 N and x value {", gvn_numb, gvn_x_val, "} = ", resltsum)

Output:

The total sum of the series till the given number N and x value { 7 6 } =  49743.05714285714

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.
Give the value of X as user input using the int(input()) function and store it in another variable.
Take a variable say resltsum which gives the sum of the given series till N and initialize its value to 1.0 (to get in float format).
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, calculate the value of X raised to the power k divided by k using the pow() function and store it in a variable say p.
Add the above value of p to the resltsum and store it in the same variable resltsum .
Increment the value of k by 1 and store it in the same variable k.
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 = "))
# Give the value of X as user input using the int(input()) function and
# store it in another variable.
gvn_x_val = 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 1.0 (to get in float format).
resltsum = 1.0
# 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, calculate the value of X raised to the power k divided by k using the
    # pow() function and store it in a variable say p.
    p = pow(gvn_x_val, k)/k
  # Add the above value of p to the resltsum and store it in the same variable resltsum.
    resltsum += p
 # Increment the value of k by 1 and store it in the same variable k.
    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 N and x value {", gvn_numb, gvn_x_val, "} = ", resltsum)

Output:

Enter some Random Number = 4
Enter some Random Number = 3
The total sum of the series till the given number N and x value { 4 3 } = 37.75

If you are learning Python then the Python Programming Example is for you and gives you a thorough description of concepts for beginners, experienced programmers.