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To continue the sequence of tiles shown, the tile indicated by the question mark should be

Six square tiles holding 0, 1, 1, 2, 3 and 5 dots, followed by a dashed tile marked with a question mark

  • A.A tile with 4 dots
  • B.A tile with 6 dots
  • C.A tile with 8 dots
  • D.A tile with 9 dots

Answer: C

The missing tile holds 8 dots, which is the tile in option (C).

Count the dots in the six tiles: 0, 1, 1, 2, 3, 5. From the third tile on, each count is the sum of the two before it (1 = 0 + 1, 2 = 1 + 1, 3 = 1 + 2, 5 = 2 + 3), the Fibonacci rule. The next count is therefore 3 + 5 = 8.

Option (C) shows 8 dots (three in the top row, one at each side of the middle row, three in the bottom row). Option (A) has 4, option (B) has 6 and option (D) has 9, none of which continues the sequence; 9 is the trap for anyone who simply fills the grid.

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