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Aratati ca (2^n+1+5*2^n+3*2^n+2) se divide cu 19

Răspuns :

2^(n+1)+5*2^n+3*2^(n+2)=2*2^n+5*2^n+3*4*2^n=(2+5+12)*2^n=19*2^n, de unde concluzia.