Question

Cho A=77² +75²+73²+.........+3²+1²

       B=76²+74²+.......+4²+2²

Tính P= \(\frac{A-B-3}{3000}\)

Answer 1

\(B-A=76^2+74^2+...+4^2+2^2-77^2-...-3^2-1^2\)

\(=-77^2+\left(76^2-75^2\right)+\left(74^2-73^2\right)+...+\left(2^2-1^2\right)\)

\(=-77^2+\left(76+75\right)+\left(74+73\right)+...+\left(2+1\right)\)

\(=-77^2+\frac{\left(76+1\right)\left[\left(76-1\right)+1\right]}{2}=-77^2+2926\)

\(\Rightarrow A-B=77^2-2926=5929-5926=3\)

\(\Rightarrow A-B-3=3-3=0\)

\(\Rightarrow P=\frac{0}{3000}=0\)

Answer 2

Hình như bạn tính nhầm r: 5929-2926 chứ