Finding the square root using Newton's method (errors!)

Question

I\'m working to finish a math problem that approximates the square root of a number using Newton\'s guess and check method in Python. The user is supposed to enter a number,

Answer 1

All you need to know is the nth term in the sequence. From the Leibniz series, we know this is ((-1)**n)/((2*n)+1). Just sum this series for all i with an initial condition of zero and you're set.

def myPi(n):

pi=0
for i in range(0,n):
    pi=pi+((-1)**i)/((2*i)+1)
return 4*pi
print (myPi(10000))