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3*1+3*3+3*5+3*7+3*9+...+3*21

Răspuns :

3*1+3*3+3*5+3*7+3*9+...+3*21=3(1+3+5+7+9+...+21)=
=3(1+2+3+4+5+6+7+8+9+...+21-2-4-6-8-.....-20)=
=3×[21×22/2-2(1+2+3+...+10)]=
=3×(21×11-2×10×11/2)=
=3×(231-110)=
=
3×121=363