Pattern $n$ has a row of $2n+1$ unit square tiles and one extra tile immediately above the leftm

Question

Pattern $n$ has a row of $2n+1$ unit square tiles and one extra tile immediately above the leftmost tile. The first three patterns are shown. State the number of tiles in Pattern 4.[1] Write an expression for the number of tiles in Pattern $n$.[1] Explain why no pattern in this sequence has exactly 57 tiles.[1]

Accepted Answer

(a) $10$ (b) $2n+2$ (c) It would require $n=27.5$.

A row with one extra tile

A row with one extra tile

Solution:

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