terms = 100000 tot = 0 n = 1 while n <= terms: tot = tot + 1 / (n*n) n = n + 1 tot = tot * 6 # get the absolute value of a number def abs(x): if x < 0: return -x return x # calculate an approximation of the square root of tot using # newton's method. # see: https://en.wikipedia.org/wiki/Newton's_method # The required accuracy SQRT_ACC = 0.00000001 def sqrt(x): pg = 0 # previous guess g = 1 # current guess while abs(pg - g) >= SQRT_ACC: pg = g g = (pg + tot/pg)/2 return g tot = sqrt(tot) # output the result print(tot)