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9+18+27+...+270 Va rog ajutati. maaaaaaaaaaaa


Răspuns :

9(1+2+3+....+30) = 9× [30×(30+1)]/2 => 9×[30×(30+1)]/2= 9× (30×31)/2 ( se simplifica 30 cu2) => = 9×465=4185 Am dat factor comun pe 9 si am aplicat suma lui gauss n(n+1)/2
9+18+27+...+270=9*(1+2+3+...30)= 9*30*31/2=4185