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Numerical Methods

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Question 6

A coordinate diagram with arrowed positive axes, the line y = x, the curve y = ln(3x + 2), an origin labelled O, and a tick labelled 2 on the x-axis.

The diagram shows the graph of y=ln⁡(3x+2)y = \ln(3x + 2)y=ln(3x+2) 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⁡(3xn+2)x_{n+1} = \ln(3x_n + 2)xn+1​=ln(3xn​+2) 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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