Iteration
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Using xn+1=6xn2+2\displaystyle x_{n+1} = \frac{6}{x_n^2} + 2xn+1​=xn2​6​+2 with x0=2x_0 = 2x0​=2

a.

Find the values of x1x_1x1​, x2 x_2\,x2​ and x3x_3x3​.

[3]
b.

Explain the relationship between the values of x1x_1x1​, x2 x_2\,x2​ and x3 x_3\,x3​ and the equation x3−2x2−6=0x^3 - 2x^2 - 6 = 0x3−2x2−6=0

[2]

Iteration Questions

Practise Edexcel GCSE Maths Iteration with exam-style questions for Foundation and Higher tier. 40 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Iteration Questions

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