A-Level Maths OCR B (MEI) (H640)

Be able to carry out a fixed point iteration after rearranging an equation into the form x = g(x) and be able to draw associated staircase and cobweb diagrams.

e.g. write $x^3 - x - 4 = 0$ as

$x = \sqrt[3]{x+4}$ and use the iteration

$x_{n+1} = \sqrt[3]{x_n+4}$ with an appropriate starting value.

Includes use of $\boxed{ANS}$ key on calculator.

Notation:

• iteration, iterate