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Iteration

Iteration

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Question 64

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

a.

Verify that x1=2x_1 = 2x1​=2, x2=1.25x_2 = 1.25x2​=1.25 and x3=1.64x_3 = 1.64x3​=1.64.

[3]
b.

Find the equation for which the values of x1x_1x1​, x2 x_2\,x2​ and x3 x_3\,x3​ are estimates of a solution.

[2]
Markscheme

Iteration Questions

  1. GCSE
  2. /Maths
  3. /Iteration

124 exam-style questions on Eduqas GCSE Maths Iteration. Each one has a worked solution and a mark scheme showing where the marks go.

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