MATH.23:8 - Common Anti-Patterns and How to Avoid Them

Extrapolating the displayed values without the generating law. The iteration formula in :5.1 is justified by its recurrence and induction. Agreement at a few n values alone would leave other continuations possible.

Excluding the counterexample and abandoning the required class. Equal-sized groups rescue the mean-of-means formula in :5.2, but not a requirement to combine arbitrary groups. Sum and count answer that requirement.

Treating a convenient condition as necessary. Uniform convergence repairs the continuity argument in :5.3. The final countercase shows why necessity remains a different claim.

Losing the operation behind a successful answer. Keeping only the mean hides the combining structure. Retaining sum and count makes later aggregation possible; retaining the compatibility argument supports the next summary question.