1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003
问题描述:
1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003
答
隔项相消,1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003=1/2004-1/2=-1001/2004
1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003
隔项相消,1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003=1/2004-1/2=-1001/2004