1/2+1/6+1/12+1/20+1/30+...+1/9900=1/(1×2)+1/（2×3）+1/（4×5）+1/（5×6）+...+1/（99×100）
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+...+(1/99-1/100) =1-1/100
=99/100