1+1/2+1/6+1/12+1/20+…+1/99*100=?

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1+1/2+1/6+1/12+1/20+…+1/99*100=?
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1+1/2+1/6+1/12+1/20+…+1/99*100=?
1+1/2+1/6+1/12+1/20+…+1/99*100=?

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