Teach Genie
Teach it back in your own words, spot gaps, and remember it better.
Iteration means repeatedly applying the same rule. In xn+1=2+6xn2x_{n+1}=2+\frac{6}{x_n^2}xn+1=2+xn26, 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.
Question 1
3 marksThe 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)Iteration means [ ].
Revision notes for Edexcel GCSE Maths Iteration. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.
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?
