Task library/Teaching answer

Explain why the harmonic series diverges

Give a correct proof, anticipate one misconception, and adapt the explanation for a first-year student.

Synthetic evaluation using demonstration outputs. Not real customer demand, adoption, or revenue.

OUTPUT VIEWER / RUN 04GPT-5.2
PROOF / GROUPING

1 + ½ + ⅓ + ¼ + … diverges

  1. Group terms in powers of two.
  2. Each group after the first sums to at least ½.
  3. There are infinitely many groups, so the partial sums exceed any bound.

Every new block adds another half; the total never settles.

Exact version recordedDesktop + mobile run3 journey states94/100
ONE-SENTENCE CONCLUSION

GPT-5.2 wins this run.

Correct and easiest to learn from. The verdict changes when the persona prioritizes speed over editability, so the disagreement remains visible.

What changed the decision

Scores follow the artifact. Every judgment stays attached to a visible state or recorded validator.

01

Task completion

The winning output completed the primary journey without recovery help in three repeated runs.

02

Persona fit

Founders chose the fastest usable path; specialists rewarded control and evidence depth.

03

Failure replay

The lowest-scoring output hid one critical action and lost state after the second step.

Continue the evidence trail.

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