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CAIE A Level Mathematics 9709 · Numerical solution of equations

Numerical solution of equations: calculation question

3 marksStandard

Use the iterative formula xn+1=2xn3+83xn2x_{n+1} = \frac{2x_n^3 + 8}{3x_n^2} with x0=1x_0 = 1 to find the cube root of 88 correct to 3 decimal places.

  1. (a)

    Show your iterations and state the root correct to 3 decimal places.

    [3]

Work it out, then check it

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3 marks. Method marks are awarded for correct working even if the final answer is wrong, and a later part can still score if it correctly uses an earlier wrong answer.

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