median
don steward
mathematics teaching 10 ~ 16

Monday, 20 December 2010

averaging




Choose any two numbers. The next number is the average of these two and the next is the average of the last two etc. Students can explore the limit - which is reached fairly quickly - either with a calculator or computer. The limit is a linear combination of the first two terms.

This has been called 'Littov's chain' but someone (Raz Lamplugh) told me this was a made up name! It generalises to e.g. the average of the last three numbers.

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