Question

(4+6+8+10+.........+2012)x1/1000x(1/2+3/4+5/6) violympic toan 7 ne ai jup mk voi

Answer 1

\(\left(4+6+8+10+...+2012\right)\cdot\frac{1}{1000}\cdot\left(\frac{1}{2}+\frac{3}{4}+\frac{5}{6}\right)\)

\(\text{Đặt A = 4 + 6 + 8 + 10 + ... + 2012 }\)

SSH của A là : (2012 - 4) : 4 + 1  = 503 (sh) 

Tổng A là : (4 + 2012) . 503 : 2 = 507024 

Thay A vào bt ta đc : \(507024\cdot\frac{1}{1000}\cdot\left(\frac{1}{2}+\frac{3}{4}+\frac{5}{6}\right)\)

\(=507024\cdot\frac{1}{1000}\cdot\frac{25}{12}\)

\(=507024\cdot\frac{1}{480}=\frac{10563}{10}=1056,3\)