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International Mathematical Olympiad
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In a certain country, the sum of the first 100 positive integers is equal to the sum of the first n positive integers. Find the value of n.
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A
200
💡 Explanation:
The sum of the first 100 positive integers is 5050. The sum of the first n positive integers is n(n+1)/2. Therefore, we have 5050 = n(n+1)/2. Solving for n, we get n = 200.