© boardworks ltd 20091 of 5 sequences in context this icon indicates the slide contains activities...
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© Boardworks Ltd 20091 of 5
Sequences in context
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The following sequence of patterns is made from L-shaped tiles:
Number of Tiles 4 8 12
The number of tiles in each pattern forms a sequence.
How many tiles will be needed for the next pattern?
16
We add on four tiles each time. This is a term-to-term rule.
Sequences from practical contexts
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A possible justification of this rule is that each shape has four ‘arms’ each increasing by one tile in the next arrangement.
The pattern gives us multiples of 4:
1 lot of 4 2 lots of 4 3 lots of 4 4 lots of 4
The nth term is 4 × n or 4n.
Justification: This follows because the 10th term would be 10 lots of 4.
Sequences from practical contexts
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Paving slabs 1
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Leapfrog investigation