MathDB

4

Part of 2003 Junior Tuymaada Olympiad

Problems(1)

1 / a_1 + 1 / a_2 + \ldots + 1 / a_n = 1 , sum is <= n ^ {2 ^ n}

Source: Tuymaada Junior 2003 p4

5/11/2019
The natural numbers a1 a_1 , a2 a_2 , … \dots , an a_n satisfy the condition 1/a1+1/a2+…+1/an=1 1 / a_1 + 1 / a_2 + \ldots + 1 / a_n = 1 . Prove that all these numbers do not exceed n2n n ^ {2 ^ n}
algebraSummaximum valuemaximuminequalities