6分之7+12分之13+20分之21+30分之31+~+420分之421

楼上,你学过怎么也做错了?原式=1+1/6+1+1/12+1+1/20+……+1+1/420=19+1/(2*3)+1/(3*4)+1/(4*5)+……+1/(20*21)注意到1/(n*(n+1))=1/n-1/(n+1)所以,原式=19+1/2-1/3+1/3-1/4+1/4-1/5+……+1/20-1/21=19+1/2-1/21=817/...