Number series (two interleaved threads: +2 on odds, −3 on evens) Sequence: 2 44 4 41 6 38 8 … Choose the next two numbers.

Introduction / Context:Interleaved sequences split into two simpler progressions: one operating on odd positions and the other on even positions. Recognizing and continuing both threads yields the answer.

Given Data / Assumptions:

• Total sequence: 2, 44, 4, 41, 6, 38, 8, …
• Odd positions (1,3,5,7, …): 2, 4, 6, 8 (increase by +2).
• Even positions (2,4,6, …): 44, 41, 38 (decrease by −3).

Concept / Approach:Continue the even-position subsequence first (since the next term is position 8), then continue the odd-position subsequence (position 9).

Step-by-Step Solution:

Verification / Alternative check:Interleaving after extension gives: … 6, 38, 8, 35, 10 — consistent with the +2 and −3 rules.

Why Other Options Are Wrong:

• 10 12 / 10 52: Break the required order or the even-position decrement.
• 35 32 / 34 9: Second values do not follow the +2 odd-position thread.

Common Pitfalls:Adding +3 to the even thread or forgetting which position comes next.

Final Answer:35 10