Show that there is a root of f(x)=0f(x) = 0f(x)=0 in the interval 2<x<32 < x < 32<x<3.
Use the iterative formula
xn+1=ln(xn+2)+1,x0=2.5, x_{n+1} = \ln(x_n + 2) + 1, \quad x_0 = 2.5, xn+1=ln(xn+2)+1,x0=2.5,to calculate the values of x1x_1x1, x2 x_2\,x2 and x3x_3x3, giving your answers to 5 decimal places.
Show that x=2.505x = 2.505x=2.505 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.