In the previous article, we have discussed Python Program to Find Sum of Series 1/2-2/3+3/4-4/5+5/6…+N/N+1

Given the numbers, N and X and the task is to find the sum of the given series** (1+X+X^3…+X^N)** for the given numbers in Python.

**Examples:**

**Example1:**

**Input:**

Given Number = 4 Given X value = 8

**Output:**

The total sum of the series till the given number N and x value { 4 8 } = 520

**Example2:**

**Input:**

Given Number = 5 Given X value = 11

**Output:**

The total sum of the series till the given number N and x value { 5 11 } = 162393

## Program to Find the Sum of Series 1+X+X^3…+X^N in Python

Below are the ways to find the sum of the given series** (1+X+X^3…+X^N) **for the given numbers in Python :

### 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 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, calculate the value of X raised to the power
**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. - Increment the value of
**k**by 2 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 = 4 # Give the value of x as static input and store it in another variable. gvn_x_val = 8 # 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, calculate the value of X raised to the power k using the pow() function # and store it in a variable say p. p = pow(gvn_x_val, k) # Add the above value of p to the resltsum and store it in the same variable. resltsum += p # Increment the value of k by 2 and store it in the same variable k. k += 2 # 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 { 4 8 } = 520

### 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 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, calculate the value of X raised to the power
**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. - Increment the value of
**k**by 2 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 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, calculate the value of X raised to the power k using the pow() function # and store it in a variable say p. p = pow(gvn_x_val, k) # Add the above value of p to the resltsum and store it in the same variable. resltsum += p # Increment the value of k by 2 and store it in the same variable k. k += 2 # 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 = 5 Enter some Random Number = 11 The total sum of the series till the given number N and x value { 5 11 } = 162393

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