Ta có : A = 1.2 + 2.3 + 3.4 + ..... + 49.50
=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + .... + 49.50.51
=> 3A = 49.50.51
= >A = 49.50.51/3 = 41650
3A= 1.2.3 + 2.3.(4-1) +3.4.(5-2) +...+ 99.100.(101-98)
3A= 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 +...+-99.100.98
3A=99.100.101
A= 33.100.101
A= 1.2+2.3+3.4+...+48.49+49.50
3A= 1.2.3+2.3.3+3.4.3+...+48.49.3+49.50.3
3A=1.2.3+ 2.3.(4-1)+3.4.(5-2)+...+48.49.(50-47)+ 49.50.(51-48)
3A=1.2.3+ 2.3.4- 1.2.3+ 3.4.5- 2.3.4+...+ 48.49.50- 47.48.49 + 49.50.51 - 49.50.48
3A=49.50.51
A=( 49.50.51 ) /3 = 41650