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]
Use an iterative formula, based on the equation in part (b), to find the root correct to 3 significant figures. Give the result of each iteration to 5 significant figures.
Use iteration process correctly at least once
Obtain final answer 1.58
Final answer required to exactly 3 sf .
Show sufficient iterations to 5 sf to justify answer or show a sign change in
interval [1.575, 1.585]
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