1*2/1+2*3/1+3*4/1+.100*101/1 1*3/1+3*5/1+5*7/1+.+99*101/1 怎么算?如题...1*2/1+2*3/1+3*4/1+.100*101/11*3/1+3*5/1+5*7/1+.+99*101/1写清楚一点就更好了

1*2/1+2*3/1+3*4/1+.100*101/1 1*3/1+3*5/1+5*7/1+.+99*101/1 怎么算?如题...1*2/1+2*3/1+3*4/1+.100*101/11*3/1+3*5/1+5*7/1+.+99*101/1写清楚一点就更好了
1*2/1+2*3/1+3*4/1+.100*101/1 1*3/1+3*5/1+5*7/1+.+99*101/1 怎么算?
如题...
1*2/1+2*3/1+3*4/1+.100*101/1
1*3/1+3*5/1+5*7/1+.+99*101/1
写清楚一点就更好了

1*2/1+2*3/1+3*4/1+.100*101/1 1*3/1+3*5/1+5*7/1+.+99*101/1 怎么算?如题...1*2/1+2*3/1+3*4/1+.100*101/11*3/1+3*5/1+5*7/1+.+99*101/1写清楚一点就更好了
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/100-1/101)=1-1/101 =(1/2)*[(1-1/3)+(1/3-1/5)+...+(1/99-1/101)]=(1/2)*(1-1/101)