Fill the missing Roman numeral: V, VIII, XI, XIV, __, XX, … Identify the correct term that continues the pattern.

Introduction / Context:Roman-numeral sequences often hide a simple arithmetic pattern when converted to Arabic numbers. Here the steps between terms are constant.

Given Data / Assumptions:

• Series (Roman): V, VIII, XI, XIV, ?, XX
• Convert to Arabic to analyze: 5, 8, 11, 14, ?, 20

Concept / Approach:The Arabic values form an arithmetic progression with common difference +3.

Step-by-Step Solution:5 → 8: +38 → 11: +311 → 14: +3Therefore the next is 14 + 3 = 17Convert 17 to Roman numerals → XVII

Verification / Alternative check:17 → 20 is also +3; 20 in Roman is XX, matching the series.

Why Other Options Are Wrong:

• IX (9) / XV (15) / XXIII (23): These do not maintain the +3 arithmetic progression.

Common Pitfalls:Working in Roman numerals directly can obscure the simple +3 pattern; convert to Arabic first.

Final Answer:XVII