Number series (find the next two terms): 17 14 14 11 11 8 8 Choose the pair that correctly completes the sequence.
Correct Answer: 5 5
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