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3.7 Numerical methods (A-level only)

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Question 14

The equation x=cos⁡xx=\cos xx=cosx has a root between 0 and 1. Starting with x0=0.7x_0=0.7x0​=0.7, use the iteration

xn+1=cos⁡xnx_{n+1}=\cos x_nxn+1​=cosxn​

to find x1x_1x1​, x2 x_2\,x2​ and x3x_3x3​. Give each value to four decimal places.

[3]
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3.7 Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.7 Numerical methods (A-level only)

125 exam-style questions on CCEA A Level Maths 3.7 Numerical methods (A-level only), covering 3.7.1 Numerical methods (A-level only), 3.7.2 Numerical methods (A-level only), 3.7.3 Numerical methods (A-level only), and 3.7.4 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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