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Numerical Methods

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Question 7

A coordinate diagram with arrowed axes, the origin O, the line y=x, the curve y=ln(4x+1), and an x-axis tick at −1.

The diagram shows the graph of y=ln⁡(4x+1)y = \ln(4x + 1)y=ln(4x+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⁡(4xn+1)x_{n+1} = \ln(4x_n + 1)xn+1​=ln(4xn​+1) can be used to find a root, justifying your answer.

[2]
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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