To continue the sequence of tiles shown, the tile indicated by the question mark should be:
Figure Q.2 — sequence of dot-tiles and the four options
Options:
(A) Figure with 4 dots
(B) Figure with 6 dots
(C) Figure with 8 dots
(D) Figure with 9 dots
Official Answer Key:
C
Step-by-Step Solution & Explanation
Count the dots in successive tiles: 0, 1, 1, 2, 3, 5.
Each term equals the sum of the two preceding terms — this is the Fibonacci sequence:
0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5
Next term = 3 + 5 = 8
Option (A) has 4 dots, (B) has 6, (C) has 8, (D) has 9. Hence (C).
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