Cho A=1//2+1/3+1/4+...1/2017 và B=1/2016+2/2015+3/2014+...+ 2015/2+2016/1 . Tính B/A
Giải thích
Ta có: B=12016+22015+32014+...+20152+20161
=12016+1+22015+1+32014+1+...+20152+1+1
=20172016+20172015+...+20173+20172+20172017
=201712016+12015+...+13+12+12017
Khi đó BA=201712016+12015+...+13+12+1201712+13+14+...+12017=2017