1+1/2+1/6+1/12+1/20+…+1/99*100=?
问题描述:
1+1/2+1/6+1/12+1/20+…+1/99*100=?
答
1+1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/99-1/100)
=2-1/100
=199/100