Question 42
The diagram shows the graph of y=ln(4x+3)y = \ln(4x + 3)y=ln(4x+3) and the graph of y=xy = xy=x.
Use the diagram, starting with x1=2x_1 = 2x1=2, to determine whether the iteration formula xn+1=ln(4xn+3)x_{n+1} = \ln(4x_n + 3)xn+1=ln(4xn+3) can be used to find a root, justifying your answer.
Numerical Methods Questions
80 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.