IB skill practice

Use fixed point iteration

Apply fixed point iteration and interpret convergence conditions.

Paper 1, Paper 2 5 marks Difficulty 4

Use fixed point iteration - visual transformation link

Using \(x_{n+1}=\frac{x_n+4}{3}\) with \(x_0=-1\), enter \(x_1\).

Worked practice: result and interpretation

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