Number series – Find the wrong number (descending multipliers by 0.5) 2, 14, 91, 546, 3002, 15015 Exactly one term is incorrect. Multipliers descend by 0.5 each time (×7, ×6.5, ×6, ×5.5, ×5). Identify the wrong number.

Introduction / Context:
This classic pattern multiplies by factors that decrease by 0.5 each step: ×7, ×6.5, ×6, ×5.5, ×5. A single incorrect value will break the exact products.

Given Data / Assumptions:

• Series: 2, 14, 91, 546, 3002, 15015
• Intended multipliers: 7, 6.5, 6, 5.5, 5

Concept / Approach:
Compute each product exactly and compare with the displayed term.

Step-by-Step Solution:
2 × 7 = 14 → OK.14 × 6.5 = 91 → OK.91 × 6 = 546 → OK.546 × 5.5 = 3003 → series shows 3002 → wrong here.3003 × 5 = 15015 → final term consistent with the intended rule.

Verification / Alternative check:
Only one-off error (3002 vs 3003) occurs; all other multiplications are exact.

Why Other Options Are Wrong:

• 14, 91, 15015 → each matches the exact descending-multiplier rule.
• None of these → incorrect because 3002 is the sole mismatch.

Common Pitfalls:
Assuming rounding; here the products are exact integers and leave no rounding ambiguity.

Final Answer:
3002