Question

write a python program to input the value of x and n and print the sum of 1-x+x^2-x^3+x^4+...........x^n​

Answer 1

Explanation:

Given an integer X, the task is to print the series and find the sum of the series

1 + x^{1} + x^{2} + x^{3} + x^{4} ... x^{N}

Examples :

Input: X = 2, N = 5

Output: Sum = 31

1 2 4 8 16

Input: X = 1, N = 10

Output: Sum = 10

1 1 1 1 1 1 1 1 1 1

Answer 2

Here's a Python program to input the value of x and n, and print the sum of the series 1-x+x^2-x^3+x^4+...........x^n:

x = float(input("Enter the value of x: "))

n = int(input("Enter the value of n: "))

sum = 1 # initialize sum to 1

sign = -1 # initialize sign to -1

for i in range(1, n+1):

term = sign * (x ** i) # calculate each term in the series

sum += term # add the term to the sum

sign *= -1 # change the sign for the next term

print("The sum of the series is:", sum)

• In this program, we first take input from the user for the values of x and n. We then initialize the sum of the series to 1 and the sign of the first term to -1.
• We then use a for loop to iterate through each term in the series, up to the nth term.
• For each term, we calculate the value using the formula (-1)^i * x^i, where i is the index of the term.
• We then add the term to the sum, and change the sign of the next term by multiplying the sign by -1.
• Finally, we print out the sum of the series.

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