Question 1
Is it possible that the product of nine consecutive positive integers equals the sum of nine consecutive positive integers (not necessarily the same nine integers)? (4 points)
Editorial illustration; no extra mathematical assumptions.
Practice scoring: add all five whole-question scores (maximum 24). Original ITOT scoring adds only the three highest whole-question scores (maximum 16); sum each question’s subparts before ranking. The importer does not enforce best-three scoring. Duration: 300 minutes, based on historical organizer general rules, not an individually printed time on this paper.
Editorial illustration; no extra mathematical assumptions.
Practice scoring: add all five whole-question scores (maximum 24). Original ITOT scoring adds only the three highest whole-question scores (maximum 16); sum each question’s subparts before ranking. The importer does not enforce best-three scoring. Duration: 300 minutes, based on historical organizer general rules, not an individually printed time on this paper.