Stage: 4 and 5 Challenge Level: 
Start with different numbers and write down the sequences. What
patterns do you notice? Can you explain what happens?
Number theory. Manipulating algebraic expressions/formulae. Inequality/inequalities. Fixed points and attractors. Iteration. Sequences. Integers. Mathematical reasoning & proof. Dynamical systems. Stage 5 - Reviewed 2012.
Published October 1997,September 2008.
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