IMO 2009 problema 3

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Omer Cerrahoglu
Euclid
Posts: 34
Joined: Mon Mar 17, 2008 1:08 pm

IMO 2009 problema 3

Post by Omer Cerrahoglu »

Fie \( s_1, s_2,... \)un sir crescator de numere naturale cu proprietatea ca ambele siruri \( s_{s_1}, s_{s_2},.. \) si \( s_{{s_1}+1}, s_{{s_1}+1},.. \) sunt progresii aritmetice. Aratati ca \( s_1, s_2,.. \) este porgresie aritmetica.
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