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GCSE Mathematics · key term
A repeated numerical process in which each output is used as the next input.
Used by AQA, Edexcel and OCR
Specification A20, R16 · Paper 1, Paper 2, Paper 3
A repeated calculation in which each output is used as the next input.
Revise: Iterative MethodsIteration provides an approximate solution by repeating the same calculation, with each result becoming the input for the next calculation. This is Higher-tier content.
The process of repeatedly using the output from one calculation as the input to the next.
Keep unrounded calculator values during the iteration and round only the reported solution.
Keep the full calculator display during the iteration; do not feed rounded intermediate values back into the rule.
Write the iteration rule, the stated starting value and enough successive values to show how the approximation develops.
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Specification A20, R16 · Paper 1, Paper 2, Paper 3
Revise: Iterative MethodsNumerical iteration approaches a solution by repeating a calculation. Start with a given number, apply a rule, feed the result back into the same rule and repeat.
A repeated process in which the output from one step becomes the input to the next step.
Specification 6.03e · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A numerical process in which repeated calculations produce increasingly accurate approximations.
Revise: Iterative MethodsIn this lesson, iteration means repeating a systematic sign-change process so that the interval containing a root becomes narrower. It is not guesswork: each calculation determines what to test next.