Đặt A=1.2 + 2.3 + 3.4 +...+100.101
3.A=3.(1.2+2.3+3.4+...+100.101)
3.A=1.2.3+2.3.3+3.4.3+...100.101.3
3A=1.2.(3-0)+2.3.(4-1)+3.4.(5-2)+....+100.101.(102-99)
3A=1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+....+100.101.102-99.100.101
3A=99.100.101
A=33.100.101=333300