The positions of the letters are Z(26), X(24), U(21) and Q(17). The decreases between them are β2, β3 and β4, which form an increasing sequence of negative steps in magnitude. The next step should be β5, giving 17 β 5 = 12, which is the letter L. Hence L uniquely satisfies the pattern of successively larger backward jumps.
Option A:
Option A, O, lies at position 15, which would give a decrease of only 2 from Q. This contradicts the trend of increasing the size of the backward step. Since the differences must grow by 1 each time, O cannot fit the rule.
Option B:
Option B, N, is at position 14, implying a decrease of 3 from 17. This repeats a previous step size instead of extending it to β5. Therefore N does not reflect the evolving pattern of differences.
Option C:
Option C, K, corresponds to position 11, giving a drop of 6 from Q. This overextends the next decrement beyond what the sequence suggests. Because the model clearly shows steps of β2, β3, β4, then β5, moving to β6 breaks the logic.
Option D:
Option D is correct because L, at position 12, produces the required decrease of 5 from 17. It aligns with the systematic growth of the backward interval. By respecting the exact structure of the differences, L is the only consistent next term.
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