Three-letter alphabet pattern – find the missing term Sequence: AYD, BVF, DRH, ?, KGL

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:

  • Terms: AYD, BVF, DRH, ?, KGL.
  • Alphabet indices A=1 to Z=26; wrap is not required here.


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:

  • FMI, GLJ, HLK, HMK each breaks at least one column's required step-size progression (+1, +2, +3, +4 for first; −3, −4, −5, −6 for second; +2 constant for third).


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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