Question

[Nguyễn Khánh Bảo Thi]

Tinh nhanh: A=1.5+2.6+3.7+...+20.24

Answer 1

[Lê Thị Nhung]

A=1.5+2.6+3.7+...+20.24

A=1.(2+3) + 2.(3+3) + 3.(4+3) + ... + 20.(21+3)

A=1.2+3 + 2.3 +6 + 3.4 +9 + ... + 20.21 + 60

A= (1.2+2.3+3.4+...+20.21) + (3+6+9+...+60)

Tính B= 1.2 + 2.3 + 3.4 +...+ 20.21

3.B= 1.2.3 + 2.3.3 + 3.4.3 +...+ 20.21.3

3B= 1.2.3 + 2.3.(4-1) + 3.4. (5-2) + ... + 20.21. (22-19)

3B= 20.21.22 suy ra B= 3080

Tính 3+6+9+...+60= [(60-3):3+1](3+60):2=630

Vậy A= 3080 + 630=3710