Number series – missing term with “×k then +5” rule: 14, 33, 104, ?, 2110

Introduction / Context:A common construction is “multiply by increasing integers then add a small constant.” Testing this quickly reveals the pattern here.

Observation / Approach:

• 14 × 2 + 5 = 33
• 33 × 3 + 5 = 104
• 104 × 4 + 5 = 421 (missing)
• 421 × 5 + 5 = 2110

Step-by-Step Solution:Compute 104 × 4 + 5 = 416 + 5 = 421.

Verification / Alternative check:Continuity with the next step (×5 + 5) perfectly matches the final given term 2110.

Why Other Options Are Wrong:433, 372, 840, 409 do not preserve both adjacent transitions with the same rule.

Common Pitfalls:Assuming addition-only or multiplication-only growth without testing a combined rule.

Final Answer:421