IB skill practice

Use fixed point iteration

Apply an iteration rule and interpret convergence behaviour.

Paper 1, Paper 2 5 marks Difficulty 5

Use fixed point iteration - method selection

A fixed point iteration is \(x_{n+1}=\sqrt{3+x_n}\). Starting with \(x_0=1.2\), find \(x_1\). Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.