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Iteration

Iteration

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Genie and Baby Genie

Lesson

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8 minute activity

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Iteration means repeatedly applying the same rule. In xn+1=2+6xn2x_{n+1}=2+\frac{6}{x_n^2}xn+1​=2+xn2​6​, xnx_nxn​ is the current value and xn+1x_{n+1}xn+1​ is the next value.

A subscript is not a power, so x3x_3x3​ means the term with subscript 333, not x3x^3x3. The first given value is called the starting value, usually x0x_0x0​ or P0P_0P0​.

Each use of the rule moves one step along the sequence: x0→x1→x2→x3x_0 \to x_1 \to x_2 \to x_3x0​→x1​→x2​→x3​. Always substitute the latest value back into the formula.

Questions

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40 exam-style questions

Practice questions

Question 1

3 marks

The number of rabbits in a field t t\,t days from now is Pt P_t\,Pt​ where

P0=220 P_0 = 220 P0​=220 Pt+1=1.15(Pt−20) P_{t+1} = 1.15(P_t - 20) Pt+1​=1.15(Pt​−20)

Flashcards

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Iteration means [     ].

Iteration Revision Guide

  1. GCSE
  2. /Maths
  3. /Iteration

Revision notes for WJEC GCSE Maths Iteration: explanations and worked examples.

Practise questions

1 of 5

Given x0=2x_0=2x0​=2 and xn+1=3xn−1x_{n+1}=3x_n-1xn+1​=3xn​−1, what is x1x_1x1​?