Use the iteration formula xn+1=ln(4xn−1)x_{n+1} = \ln(4x_n - 1)xn+1=ln(4xn−1) with x0=2.5x_0 = 2.5x0=2.5 to find, to 3 decimal places, the values of x1,x2 x_1, x_2\,x1,x2 and x3x_3x3.
321 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.