Show that the equation f(x)=0f(x) = 0f(x)=0 can be rewritten as
x=(13−x). x = \sqrt{\left(\frac{1}{3-x}\right)}. x=(3−x1).Starting with x1=0.6x_1 = 0.6x1=0.6, use the iteration
xn+1=(13−xn) x_{n+1} = \sqrt{\left(\frac{1}{3-x_n}\right)} xn+1=(3−xn1)to calculate the values of x2x_2x2, x3 x_3\,x3 and x4x_4x4, giving all your answers to 4 decimal places.
Show that x=0.653x = 0.653x=0.653 is a root of f(x)=0f(x) = 0f(x)=0 correct to 3 decimal places.
Practise Edexcel A Level Old Maths Numerical Methods with exam-style questions for A Level Old Maths. 7 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.