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Numerical Methods

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Question 11

A graph with axes meeting at O, a tick labelled 1 on the x-axis, the line y=x and the curve y=ln(2x+3).

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