Difficulty: Medium
Correct Answer: GMJ
Explanation:
Introduction / Context:Here each of the three character positions evolves according to its own rule. The first and second positions change with steadily increasing steps (including a negative direction for the second), and the third position follows a simple constant step.
Given Data / Assumptions:
Concept / Approach:Decompose into columns (first, second, third letters) and analyze each sub-sequence. Look for +1, +2, +3 trends and for negative steps in the middle column.
Step-by-Step Solution:
First letters: A(1) → B(2) +1; B(2) → D(4) +2; continuing the increasing step, next should be +3: D(4) + 3 = G(7); and later to K(11) is +4, matching the observed K.Second letters: Y(25) → V(22) −3; V(22) → R(18) −4; continue with −5 to get 18 − 5 = 13 → M; then −6 to reach G(7), matching KGL's middle letter.Third letters: D(4) → F(6) +2; F(6) → H(8) +2; continue +2 to get J(10); then +2 to reach L(12), consistent with the final term KGL.Therefore the missing term is G M J → GMJ.Verification / Alternative check:Check forward from GMJ: +4 on first gives K, −6 on second gives G, +2 on third gives L. This exactly reconstructs KGL.
Why Other Options Are Wrong:
Common Pitfalls:Trying to move whole triplets together; overlooking that each position forms its own arithmetic progression (with different signs).
Final Answer:GMJ
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