Number series – supply the next two terms. Given sequence: 40, 40, 31, 31, 22, 22, 13, ____ , ____

Introduction / Context:
This question assesses recognition of a repeating-pair pattern where each value appears twice before stepping down by a constant amount. We must extend the series correctly and avoid distractors that look similar but break the rule.

Given Data / Assumptions:

• Sequence: 40, 40, 31, 31, 22, 22, 13, …
• We need the next two terms immediately after the single 13 shown.
• No hidden operations; standard integer patterning.

Concept / Approach:
Many sequences replicate each term twice, then reduce by a fixed decrement. Identify the decrement and preserve the duplication rule.

Step-by-Step Solution:

Verification / Alternative check:
The pattern 'repeat, repeat, decrement by 9' holds across all blocks. No evidence supports a new decrement now, so duplication of 13 is required before any further reduction (to 4, which would be the next block’s value).

Why Other Options Are Wrong:

• 13 4: Jumps to the next block prematurely; 13 must repeat first.
• 9 9: Implies a -4 step, contradicting the -9 rule.
• 22 22: Repeats an old block; sequence has already moved on.
• 4 4: Would be correct only after completing the 13,13 pair.

Common Pitfalls:
Learners often compute the next 'new' value (4) and forget the duplication rule. Always check whether the current value has appeared once or twice.

Final Answer:
13 13