Ta có:
Đặt A=1.2.3+2.3.4+3.4.5+....+99.100.101
4A=1.2.3.(4-0)+2.3.4.(5-1)+3.4.5.(6-2)+.....+99.100.101(102-98)
4A=1.2.3.4-0.1.2.3+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+.......+99.100.101.102-98.99.100.101
4A=99.100.101.102
=> A=\(\frac{99.100.101.102}{4}=25497450\)
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