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Iteration

Revise Iteration in Algebra for GCSE Mathematics with 9 exam-style questions and 3 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

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1

Zeroing In

Introduction2

How Iteration Works

Deep Dive3

Worked Example

Notes

Sample Flashcards

Sum Formula
S_n = a(r^n - 1)/(r - 1) where r is common ratio
Iteration Process
Put xₙ into formula to get xₙ₊₁. Repeat until values converge (settle down).

Sample Questions

What is the purpose of using an iterative formula in mathematics?

  • A. To find exact algebraic solutions to equations
  • B. To get increasingly accurate numerical approximations to solutions
  • C. To factorise quadratic expressions
  • D. To draw graphs of functions
1 markfoundation

A student uses the iterative formula xₙ₊₁ = xₙ² − 2 with x₀ = 0.5 and obtains the sequence 0.5, −1.75, 1.0625, −0.871, −1.241, ... Explain what is happening.

2 marksstandard

9

exam-style questions

3

revision flashcards

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