1 原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5.。。。。。。。-1/2004+1/2004-1/2005=2004/20052 原式=1/2(1-1/3)+1/2(1/3-1/5)+。。。。。。。。。+1/2(1/49-1/51)=1/2(1-1/3+1/3-1/5+1/5-1/7.。。。。+1/49-1/51)=1/2(1-1/51)=25/51