The first letters are D(4), H(8), L(12) and P(16), each increasing by 4. The second letters are G(7), K(11), O(15) and S(19), again increasing by 4. Continuing this pattern, the next first letter is 16 + 4 = 20 (T) and the next second letter is 19 + 4 = 23 (W). Thus TW is the only pair that keeps the +4 increment intact for both positions.
Option A:
Option A, TW, is correct because it aligns perfectly with the constant step size applied to both letters. It places T as the next in the first-letter progression and W as the next in the second-letter progression. This combination preserves the arithmetic structure of the series.
Option B:
Option B, UX, shifts both letters further than necessary and changes the relative spacing between them. It does not correspond to the next set of positions obtained by adding 4. Because it breaks the consistent arithmetic progression, UX cannot be accepted.
Option C:
Option C, SV, uses S as the first letter, which should actually be the second letter based on previous terms. It also introduces a different spacing between the letters, disturbing the fixed difference of four positions for each component across terms. Hence SV does not satisfy the precise pattern.
Option D:
Option D, TV, gives the correct first letter T but moves the second letter only to V, which is position 22 instead of 23. This violates the required +4 movement in the second component. Since both positions must follow identical step sizes, TV cannot be the correct continuation.
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