Question

Cum se rezolva urmatorul exercitiu prin regula lui Gauss si factor comun
(12+24+36+.....+444)=?
(6+12+18+.......+222)=?
(4+8+12+....+2012):(2+4+6+.....+1006)=?

Answer 1

(12+24+36+.....+444)=12(1+2+3+....+37)=(37*38:2)*12=703=8436

(6+12+18+.......+222)==6(1+2+3+....+37)=703*6=4218

(4+8+12+....+2012):(2+4+6+.....+1006)=4(1+2+3+.....503):2(1+2+3+..503)
=2.