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E:16400. Knowing that n N* and a, a2, ..., an are positive numbers such tha a + a + ... + a = n,

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E:16400. Knowing that n N* and a, a2, ..., an are positive numbers such tha a + a + ... + a = n, show that 1 a1+1 1 + a2+1 ++ 1 n an+1 2

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