Heyy, please help me on this coding question.

The infinite series from Problem 1 is not a great way to calculate a accurate to many decimal places because of its very slow convergence. To obtain the first eight digits of a would require more than 10,000,000 terms of the series. A much better convergence can be obtained from the following alorithm by setting the following initial values: 20 = V2 bo = 0 2+ V2 then iterating: an 1 An+1 = + 2 2 2 van an bn+1 (1+b) an+bn Ten(1+an+1)bn+1 In+1 = 1+bn+1 Write Python code that contains a while loop that will continue to apply the above interation until the estimated value of a equals the value supplied by NumPy. How many iterations are required