CAIE A-Level Mathematics A2 3.6.3 Iteration Formulae Questions
Practise constructing and applying iteration formulae to approximate roots to stated accuracy.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- A2
Exam points
- construct iteration formulae from equations
- apply iteration to approximate roots accurately
- assess convergence and present iterates to the required precision
CAIE A-Level Mathematics A2 3.6.3 Iteration Formulae Questions question 1
[Maximum number: 3]
The constant a is such that ∫0axe21x dx=6.
Use an iterative formula based on the equation in part (a) to determine a correct to 2 decimal places. Give the result of each iteration to 4 decimal places.
Use iterative process correctly at least once
Obtain final answer 2.31
Show sufficient iterations to at least 4 dp to justify 2.31 to 2 dp
Marking guidance:
Allow recovery.
Allow truncation.
E.g. 2.3, 2.3166, 2.3140, 2.3144.
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