The three-letter groups are formed from even-position letters of the alphabet: BDF uses (2, 4, 6), DFH uses (4, 6, 8), FHJ uses (6, 8, 10) and HJL uses (8, 10, 12). The starting positions of the groups are 2, 4, 6 and 8, increasing by 2. The next group should use (10, 12, 14), which correspond to J, L and N, giving JLN.
Option A:
Option A, ILN, begins at position 9 instead of 10, shifting the group off the even-position pattern. It also does not align with the established sequence of starting positions. Because the structure is based on even-numbered indices, ILN cannot be correct.
Option B:
Option B, JLN, is correct because it follows the pattern of moving the starting position forward by 2 and taking every second letter from there. It uses positions 10, 12 and 14, exactly as the rule demands. This preserves both the spacing and the parity of the positions.
Option C:
Option C, KMN, changes the distances between letters and alters the parity of the underlying positions. It does not result from the simple shift in the even sequence used in earlier terms. As such, KMN cannot be accepted as a valid continuation.
Option D:
Option D, HJM, repeats letters and fails to maintain the constant spacing of two positions between successive letters. It also does not continue the progression of starting positions properly. Therefore HJM does not satisfy the design of the series.
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