Python Program to Display Sum of a Series using Looping Concept

To solve this problem, we can use a loop to iterate over the terms of the series and calculate their sum. Here's a step-by-step guide to implementing the program:

1. Getting the Inputs: Start by taking the input values from the user. We need two inputs: the base value 'x' and the power value 'n'.

2. Initializing Variables: Initialize a variable 'sum' to store the sum of the series. Set it to 0 initially.

3. Calculating the Sum: Use a for loop to iterate from 1 to 'n'. In each iteration, check if the current number is odd or even. If it's odd, subtract the term 'x^i' from the sum; otherwise, add the term 'x^i' to the sum.

- Inside the loop, use an if-else statement to determine if the current number is odd or even. This can be done by checking if the current iteration count modulo 2 is equal to 0 or not.

- If the current number is odd, subtract 'x^i' from the sum. You can calculate 'x^i' using the power operator (**) in Python.

- If the current number is even, add 'x^i' to the sum.

4. Displaying the Result: After the loop execution, the 'sum' variable will contain the sum of the series. Display this value to the user.

Here's the Python code for the above steps:

```python
# Step 1: Getting the Inputs
x = float(input("Enter the value of x: "))
n = int(input("Enter the value of n: "))

# Step 2: Initializing Variables
sum = 0

# Step 3: Calculating the Sum
for i in range(1, n+1):
if i % 2 == 0:
sum += x ** i
else:
sum -= x ** i

# Step 4: Displaying the Result
print("Sum of the series:", sum)
```

By running this program, the user will be prompted to enter the value of 'x' and 'n'. The program will then calculate the sum of the given series and display it as the output.