Using xn+1=1xn2+1\displaystyle x_{n+1} = \frac{1}{x_n^2} + 1xn+1=xn21+1 with x0=1x_0 = 1x0=1
Verify that x1=2x_1 = 2x1=2, x2=1.25x_2 = 1.25x2=1.25 and x3=1.64x_3 = 1.64x3=1.64.
Explain the relationship between the values of x1x_1x1, x2 x_2\,x2 and x3 x_3\,x3 and the equation x3−x2−1=0x^3 - x^2 - 1 = 0x3−x2−1=0
124 exam-style questions on OCR GCSE Maths Iteration. Each one has a worked solution and a mark scheme showing where the marks go.