Ta có :
S=1x2+2x3+3x4+...+49.50
3S=1x2x3+2x3x3+...+… +49x50x3
=> 3S=1x2x(3-0)+2x3x(4-1)+...+49x50(51-48)
=> 3S=1x2x3-0+2x3x4-1x2x3+...+49x50x51-48x49x50
=> 3S=49x50x51
=> S=49x50x513
=> S=41650
Đáp số : 41650
3S=1.2.3+2.3.3+3.4.3+...+49.50.3
=1.2.3+2.3.(4-1)+3.4.(5-2)+...+48.49.(50-47)+49.50.(51-48)
=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+48.49.50-47.48.49+49.50.51-48.49.50
=(1.2.3-1.2.3)+(2.3.4-2.3.4)+...(47.48.49-47.48.49)-(48.49.50-48.49.50)+49.50.51
=0+0+...+0+0+49.50.51
=49.50.51
S=(49.50.51)/3
=41650
Đáp số:41650