h(x)=x3−6x+3h(x) = x^3 - 6x + 3h(x)=x3−6x+3
Show that h(x)h(x)h(x) has a root between 0.5 and 0.6
Show that the equation h(x)=0h(x) = 0h(x)=0 can be written in the form x=x3+36\displaystyle x = \frac{x^3 + 3}{6}x=6x3+3
Use the iteration formula xn+1=xn3+36\displaystyle x_{n+1} = \frac{x_n^3 + 3}{6}xn+1=6xn3+3 with x0=0.5x_0 = 0.5x0=0.5 to find, to 3 decimal places, the values of x1x_1x1, x2 x_2\,x2 and x3x_3x3.
By choosing a suitable interval, prove that α=0.524\alpha = 0.524α=0.524 to 3 decimal places
Practise Edexcel A Level Maths 10.2 Iteration with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) 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.