Protracted pavement

Semi-circular paved brick design, with arches of incresing size radiating out. To the left a straight border edge is made up of 15 bricks. The first curve of the semi-circle is made up of 3 full bricks plus 2 half bricks. The second curved row is made up of 8 bricks and 2 half bricks. The third curved row is made up of 12 bricks and 2 half bricks. The fourth curved row is made up of 14 bricks and 2 half bricks. the fourth curved row is made up of 18 bricks plus 2 half bricks. This pattern radiates out until there are 11 rows.

Image credit: John West

Prompts

How many bricks are needed for each layer in the arch pattern?

How might you describe the number of bricks needed for each layer as a sequence?

Does the number of bricks needed for each layer appear to increase by a constant amount?

What is the relationship between the number of bricks needed for each arch and the number of bricks along the border of the paving?

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