CourseCourseConceptConceptDocumentDocument

CAIE A-Level Mathematics AS 2.6.3 Iteration Formulae Questions

Practise constructing and applying iteration formulae to approximate roots in the AS mathematics syllabus.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • construct an iteration formula from a given equation
  • apply iteration to approximate a root to a stated accuracy
  • present iterates and assess convergence to the required significant figures

CAIE A-Level Mathematics AS 2.6.3 Iteration Formulae Questions question 1

[Maximum number: 3]
Figure for Question CAIE A-Level Mathematics AS 2.6.3 Iteration Formulae Questions question 1 — CAIE A-Level Mathematics AS

The diagram shows the curve with equation y=ln⁡(2x+1)x+3y=\frac{\ln (2 x+1)}{x+3}. The curve has a maximum point M.

Use an iterative formula based on the equation in part (b) to find the x-coordinate of M correct to 4 significant figures. Give the result of each iteration to 6 significant figures.

All question bank results loaded