Question

Tính:

1.2.3+2.3.4+3.4.5+...+98.99.100

Answer 1

Đặt A = 1.2.3 + 2.3.4 + 3.4.5 + ... + 98.99.100

4A = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + ... + 98.99.100.4

4A = 1.2.3.4 + 2.3.4.(5 - 1) + 3.4.5.(6 - 2) + ... + 98.99.100.(101 - 97)

4A = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 98.99.100.101 - 97.98.99.100

4A = 98.99.100.101

=> A = 98.99.100.101 : 4

=> A = 24497550