Find the wrong term in the number series: 2, 3, 6, 15, 45, 156.5, 630. The intended pattern multiplies by 1.5, 2, 2.5, 3, 3.5, 4 … Identify the incorrect term.

Introduction / Context:
This wrong-term hunt features steadily increasing multipliers by 0.5 each step. We check every transition to isolate the single incorrect value.

Given Data / Assumptions:

• Series: 2, 3, 6, 15, 45, 156.5, 630.
• Hypothesized rule: multiply by 1.5, then 2.0, then 2.5, then 3.0, then 3.5, then 4.0…

Concept / Approach:
Verify each step against the progressive-multiplier rule and see which term breaks it.

Step-by-Step Solution:

Verification / Alternative check:
All early steps are exact; the only inconsistency is the penultimate multiplier result (156.5 vs 157.5). Fixing this restores a perfect ×1.5, ×2, ×2.5, ×3, ×3.5, ×4 pattern.

Why Other Options Are Wrong:
3, 6, 15, and 45 all correctly satisfy their respective multipliers.

Common Pitfalls:
Assuming a different additive rule; the multiplicative ladder is standard in such progressions.

Final Answer:
None of the listed earlier terms are wrong; the incorrect value is 156.5, which should be 157.5.