简算2/(3*5)+2/(5*7)+2/(7*9)+2/(9*11)+……+2/(99*101)

问题描述:

简算2/(3*5)+2/(5*7)+2/(7*9)+2/(9*11)+……+2/(99*101)

(1/3-1/5)+(1/5-1/7).+(1/99-1/101)
=1/3-1/5+1/5-1/7.
=1/3-1/101
=98/303