Arges 2006

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alex2008
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Location: Tulcea

Arges 2006

Post by alex2008 »

Se construieste sirul:

\( A_1=\{0\} ; A_2=\{2;4\} ; A_3=\{6;8;10\} ; ... ; A_n ; ... \)

a) Sa se determine multimea \( A_n \) ;

b) Sa se arate ca suma \( S_n \) a elementelor multimii \( A_n \) este divizibila cu \( 6 \) ;

c) Exista \( m,n,p\in \mathbb{N}^* \) astfel incat \( S_m+S_n+S_p\le 3mnp \) ?





Marin Chirciu , Etapa locala Arges 2006
. A snake that slithers on the ground can only dream of flying through the air.
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