Chứng minh rằng: 1/1.2 + 1/3.4 + 1/5.6 + ...+1/49.50
Giải thích
Ta có:
11.2+13.4+15.6+...+149.50
=1−12+13−14+15−16+⋯⋯+149−150=1+13+15+⋯⋯+149−12+14+16+⋯⋯+150=1+12+13+14+15+⋯⋯+150−2.12+14+16+⋯⋯+150=1+12+13+14+15+⋯⋯+150−1+12+13+⋯⋯+125=126+127+128+...+150 (dpcm)