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AMO 2027 Grades 8-9 SET 1 - Self-study Question 7

AMO · AMO 2027 Grades 8-9 SET 1 - Self-study

Question 7

In the triangle shown, the first diagonal line, 1, 2, 3, 4, ..., begins at 1 and each number after the first is one larger than the previous number. The second diagonal line, 2, 4, 6, 8, ... begins at 2 and each number after the first is two larger than the previous number. The nth diagonal line begins at n and each number after the first is n larger than the previous number. In which horizontal row does the number 2025 first appear?

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