Number series (find the next two terms): 11 14 14 17 17 20 20 Choose the pair that correctly completes the sequence.

Introduction / Context:This sequence alternates between “add 3” and “repeat the same number.” It is a simple two-step cycle used in basic number-series practice.

Given Data / Assumptions:

• Sequence shown: 11, 14, 14, 17, 17, 20, 20, ? , ?
• We need the last two terms.

Concept / Approach:Look for a rising value followed by a repeat: 11→14 (+3), then 14 repeats; 14→17 (+3), then 17 repeats; 17→20 (+3), then 20 repeats.

Step-by-Step Solution:Next after 20 (following the +3 step) is 23.Then, per the cycle, repeat: 23 again.Thus, the next two terms are 23 and 23.

Verification / Alternative check:Cycle explicitly: (+3), repeat, (+3), repeat, … Applied to 11 gives exactly the observed pattern.

Why Other Options Are Wrong:

• 23 26 / 21 24 / 24 24 / 24 27: Each breaks the strict “+3 then repeat” rule.

Common Pitfalls:Expecting a constant difference every step; here every second term is a deliberate duplicate.

Final Answer:23 23