Number series (find the next two terms): 17 14 14 11 11 8 8 Choose the pair that correctly completes the sequence.

Introduction / Context:
The sequence alternates between a decrease and a repeat. Such constructions are common in quick mental ability checks. We identify the alternating rule and extend the series by two terms.

Given Data / Assumptions:

• Series shown: 17, 14, 14, 11, 11, 8, 8, ? , ?
• Exactly two final terms are missing.

Concept / Approach:
Examine consecutive differences: 17→14 is −3; 14→14 is 0 (repeat); 14→11 is −3; 11→11 is 0; 11→8 is −3; 8→8 is 0. Pattern is clearly “−3, then repeat”.

Step-by-Step Solution:
Last given is 8. Apply −3 → 5.Then repeat the same number → 5 again.Therefore, the next two terms are 5 and 5.

Verification / Alternative check:
Writing the rule as a 2-step cycle: (current − 3), then (same as previous) reproduces the entire sequence flawlessly.

Why Other Options Are Wrong:

• 8 5 / 8 2 / 5 2 / 5 8: Each violates the required “−3 then repeat” pattern.

Common Pitfalls:
Trying to force a single arithmetic progression; here, the intentional repetition is essential to see.

Final Answer:
5 5