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Iteration to solve equation

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

Question

(H7) The equation x³ − 4x − 2 = 0 has a root near x = 2. Use the iteration xₙ₊₁ = (4xₙ + 2)^(1/3) starting at x₁ = 2 to find x₃ correct to 3 d.p.

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