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Iteration — Higher

GCSE · Mathematics · Edexcel · R16 — Growth and decay; compound interest; iterative processes

Question

Edexcel Paper 3H — Higher (QWC)

A solution to x³ + x − 5 = 0 is to be found by the iteration xₙ₊₁ = (5 − xₙ)^(1/3) starting at x₀ = 1.5.

(a) Find x₁, x₂, x₃ each to 4 decimal places. (3 marks) (b) State the value of the root to 2 decimal places. (1 mark) (c) Verify your answer by substituting it back into the original equation. (1 mark, QWC)

5 marks · take your time before peeking.

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