Step 1: Write down the visible dot counts as a list. Reading the five tiles left to right and calling the missing one $x$, the counts are $2, 3, x, d_4, d_5$, where $d_4$ and $d_5$ are the dot counts of the fourth and fifth tiles, both clearly larger than 3 and growing quickly.
Step 2: Try assuming the sequence is additive, each term equal to the sum of the previous two. This is a common rule for tile sequence puzzles when the growth speeds up instead of staying constant. Under this assumption: $x = 2 + 3 = 5$ $d_4 = 3 + x = 3 + 5 = 8$ $d_5 = x + d_4 = 5 + 8 = 13$
Step 3: Verify against the picture. The fourth tile in the image is visibly denser than a 5 or 6 dot tile and close to what an 8 dot arrangement would look like, and the fifth tile is denser still, matching a 13 dot arrangement. Both fit the sequence $2, 3, 5, 8, 13$, which is exactly the pattern formed by adding the two previous terms each time, the same rule that defines the Fibonacci numbers.
Step 4: Read off the answer choice. We need the option with exactly 5 dots. Option (A) has 4 dots in a square grid, option (C) has 6 dots, option (D) has 7 dots, but option (B) has 4 dots at the corners plus 1 dot in the centre, which totals 5 dots.
Final Answer: Option (B), the 5 dot tile, completes the sequence $2, 3, 5, 8, 13$.
