don steward
mathematics teaching 10 ~ 16

Friday, 22 July 2011

quadratic growing rules

what is the nth term of this growing sequence?

the growing sequences of shapes below have a quadratic form that can be established from diagrams directly and also from factor pairs (or by other algebraic methods...)

part of the interest in generalising these growing sequences is in relating apparently different rules, from various 'viewings' of particular cases - that seem 'regular'

for example, number 4 above can be viewed in several ways:

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