Number series – find the wrong term (identify the outlier) Series: 3, 4, 10, 32, 136, 685, 4116

Introduction / Context:This higher-difficulty series hides a two-part step: multiply by an increasing integer n and then add the same n. If one term breaks this rule, it is the wrong term.

Given Data / Assumptions:

• Series: 3, 4, 10, 32, 136, 685, 4116.
• Assume exactly one term is incorrect.

Concept / Approach:Test the rule: next = current * n + n, with n growing 1, 2, 3, 4, 5, 6, … This pattern is compact and explains rapid growth.

Step-by-Step Solution:

Verification / Alternative check:Only the third transition fails the rule as printed. Replacing 32 by 33 restores perfect adherence to “*n + n”. Thus, 32 is the single wrong term.

Why Other Options Are Wrong:

• 4, 10, 136, 4116 all fit exactly into the multiply-and-add-by-the-same-n rule when the series is corrected at the third place.

Common Pitfalls:Trying to fit a different rule to all numbers instead of validating a simple consistent rule; ignoring that one local fix should make the entire list consistent.

Final Answer:32