The problem is asking to write a program that calculates the sum of a geometric progression. The progression starts from 1 and ends at x^n. The values of x and n are provided by the user.

Here is a step-by-step solution in Python:

1. First, we need to define a function that calculates the sum of the geometric progression. The formula for the sum of a geometric progression is: S = a*(r^n - 1) / (r - 1), where a is the first term, r is the common ratio, and n is the number of terms. In our case, a is 1, r is x, and n is the number of terms.

```python
def geometric_sum(x, n):
return (x**(n+1) - 1) / (x - 1)
```

2. Then, we need to get the input from the user for the values of x and n. We use the input() function for this, and since input() returns a string, we need to convert the values to integers using the int() function.

```python
x = int(input("Enter x value : "))
n = int(input("Enter n value : "))
```

3. Finally, we call our function with the input values and print the result.

```python
print("Sum of the series 1 + x + .... + x ^", n, "=", geometric_sum(x, n))
```

The complete program looks like this:

```python
def geometric_sum(x, n):
return (x**(n+1) - 1) / (x - 1)

x = int(input("Enter x value : "))
n = int(input("Enter n value : "))

print("Sum of the series 1 + x + .... + x ^", n, "=", geometric_sum(x, n))
```

This program will calculate and print the sum of the geometric progression based on the user's input.

Question

The problem is asking to write a program that calculates the sum of a geometric progression. The progression starts from 1 and ends at x^n. The values of x and n are provided by the user.

Here is a step-by-step solution in Python:

1. First, we need to define a function that calculates the sum of the geometric progression. The formula for the sum of a geometric progression is: S = a*(r^n - 1) / (r - 1), where a is the first term, r is the common ratio, and n is the number of terms. In our case, a is 1, r is x, and n is the number of terms.

```python
def geometric_sum(x, n):
    return (x**(n+1) - 1) / (x - 1)
```

2. Then, we need to get the input from the user for the values of x and n. We use the input() function for this, and since input() returns a string, we need to convert the values to integers using the int() function.

```python
x = int(input("Enter x value : "))
n = int(input("Enter n value : "))
```

3. Finally, we call our function with the input values and print the result.

```python
print("Sum of the series 1 + x + .... + x ^", n, "=", geometric_sum(x, n))
```

The complete program looks like this:

```python
def geometric_sum(x, n):
    return (x**(n+1) - 1) / (x - 1)

x = int(input("Enter x value : "))
n = int(input("Enter n value : "))

print("Sum of the series 1 + x + .... + x ^", n, "=", geometric_sum(x, n))
```

This program will calculate and print the sum of the geometric progression based on the user's input.

Knowee AI · Accepted Answer