Discussion
To continue the sequence of tiles shown, the tile indicated by the question mark should be
- A.
- B.
- C.
- D.
Answer: C
The missing tile is (C), the tile with eight dots.
Count the dots in the tiles from left to right: 0, 1, 1, 2, 3, 5. Each count from the third onward is the sum of the two before it (0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5), which is the Fibonacci sequence. The next term is 3 + 5 = 8, so the seventh tile must carry eight dots.
Tile (A) has 4 dots, tile (B) has 6 and tile (D) has 9; none of these continues the sequence. Tile (C) has eight dots arranged round the edge of the tile, which is the only eight-dot choice.
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