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Numerical Methods

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Question 3

A coordinate diagram showing the graphs of y = ln(2x + 1) and y = x, with a tick at x = 1.

The diagram shows the graph of y=ln⁡(2x+1)y = \ln(2x + 1)y=ln(2x+1) and the graph of y=xy = xy=x.

Use the diagram, starting with x1=1x_1 = 1x1​=1, to determine whether the iteration formula xn+1=ln⁡(2xn+1)x_{n+1} = \ln(2x_n + 1)xn+1​=ln(2xn​+1) can be used to find a root, justifying your answer.

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Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

329 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.

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