Home Competitions CWMO 2003 Problem 2
Let a 1 , a 2 , … , a 2 n a_1, a_2, \ldots, a_{2n} a 1 , a 2 , … , a 2 n 2 n 2n 2 n ∑ i = 1 2 n − 1 ( a i + 1 − a i ) 2 = 1 \sum_{i = 1}^{2n - 1} (a_{i + 1} - a_i)^2 = 1 ∑ i = 1 2 n − 1 ( a i + 1 − a i ) 2 = 1 ( a n + 1 + a n + 2 + … + a 2 n ) − ( a 1 + a 2 + … + a n ) (a_{n + 1} + a_{n + 2} + \ldots + a_{2n}) - (a_1 + a_2 + \ldots + a_n) ( a n + 1 + a n + 2 + … + a 2 n ) − ( a 1 + a 2 + … + a n )
Dataset text AI-MO AoPS . Quoted with source.
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