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.
7 exam-style questions on Edexcel A Level Old Maths Numerical Methods. Each one has a worked solution and a mark scheme showing where the marks go.