The positions of these letters are Z(26), W(23), T(20), Q(17) and N(14). The difference between consecutive terms is β3 each time (26β23, 23β20, 20β17, 17β14). Continuing the same rule, the next position is 14 β 3 = 11, which is the letter K. Therefore K is the unique letter that preserves the constant backward step of 3.
Option A:
Option A, L, is at position 12, which is only 2 steps behind N at 14. This contradicts the strict pattern of subtracting 3 from the position each time. Because L does not maintain the consistent decrement, it cannot be part of the series.
Option B:
Option B, M, corresponds to position 13, giving a difference of 1 from N. There is no indication that the size of the backward step is reducing as the series progresses. Since the pattern clearly shows a constant β3, M fails to fit the rule.
Option C:
Option C, J, is at position 10, which is 4 positions behind N. This would increase the backward jump to β4, altering the original rule of the sequence. As there is no evidence of changing step sizes, J does not correctly continue the series.
Option D:
Option D is correct because K is at position 11, exactly 3 positions before N. This maintains the uniform backward movement that characterises the sequence. Keeping the decrement constant is essential for logical consistency, so K is the only valid next term.
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