1/1*2+1/2*3+1/3*4+.1/2001*2002+1/2002*2003
问题描述:
1/1*2+1/2*3+1/3*4+.1/2001*2002+1/2002*2003
答
1/1*2+1/2*3+1/3*4+.1/2001*2002+1/2002*2003
=1-1/2+1/2-1/3+1/3-1/4+……+1/2001-1/2002+1/2002-1/2003
=1-1/2003
=2002/2003