Number series (alternating “32” with −2 on even positions) Sequence: 32 31 32 29 32 27 32 … Choose the next two numbers.

Introduction / Context:
This pattern interleaves a constant term with a steadily decreasing subsequence. Recognizing position-based rules (odd/even positions) is crucial in such series.

Given Data / Assumptions:

• Terms: 32, 31, 32, 29, 32, 27, 32, …
• All odd positions are 32.
• Even positions form a decreasing sequence.

Concept / Approach:
Split into two subsequences: odd-index terms and even-index terms. Continue each separately and then interleave.

Step-by-Step Solution:

Verification / Alternative check:
Interleaving gives: 32, 31, 32, 29, 32, 27, 32, 25, 32 — consistent with the rules.

Why Other Options Are Wrong:

• 31 32 / 29 32: Use earlier even-position values, not the next one.
• 25 30 / 29 30: The second number should be 32 at an odd position, not 30.

Common Pitfalls:
Forgetting to treat odd and even indexed terms differently.

Final Answer:
25 32