Two interleaved sequences (odds increase by 1; evens increase by 2): A, B, B, D, C, F, D; H, E, ?, ? Find the next two letters by continuing both subsequences in order.

Difficulty: Medium

Correct Answer: J, F

Explanation:


Introduction / Context:
This puzzle contains a single series that is actually the weave of two ascending alphabetical sequences. Recognizing the odd-position stream and the even-position stream allows you to continue the pattern correctly.



Given Data / Assumptions:

  • Partial sequence: A, B, B, D, C, F, D; H, E, ?, ?
  • Alphabet indices A=1 … Z=26.
  • The semicolon simply separates what follows next but the same two-stream rule continues.


Concept / Approach:
List letters in odd positions and even positions separately. The odd-position letters increase by 1 each time (A, B, C, D, E, F, …). The even-position letters increase by 2 each time (B, D, F, H, J, L, …). Then place them back in order to fill the next two slots.



Step-by-Step Solution:

Odd positions so far: 1=A, 3=B, 5=C, 7=D, 9=E (next odd after D). Thus the 9th letter is E.Even positions so far: 2=B, 4=D, 6=F, 8=H, 10=J (continuing +2). Thus the 10th letter is J.Sequence order after the semicolon resumes with the 8th as H (given), 9th as E (given next), 10th as J, and 11th as F (next odd after E is F).Therefore the two missing letters (10th and 11th) are J and F.


Verification / Alternative check:


Why Other Options Are Wrong:

  • E, F / F, G / F, I / J, K each breaks one of the two strictly increasing streams when interleaved by position.


Common Pitfalls:
Misreading the semicolon as a reset or failing to split the sequence into odd and even positions.



Final Answer:
J, F


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