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Square flower beds (green) in a row are surrounded by grey border tiles, as shown. Which rule gives the grey tiles for n flower beds?

Class 7Formulas and Rules from PatternsAlgebra

A $8 n$
B $3 n + 5$
C $2 n + 6$
D $2 n + 8$

Step-by-Step Solution

Grey tiles: 8, 10, 12, … Each new bed adds 2 grey tiles (one above, one below). So

8 + 2 (n - 1) = 2 n + 6

.

Answer: C)

2 n + 6

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