=1+2+3+4+5+6+7+8+9+ 1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=45+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=45+1/2-1/10
=45又2/5
有问题,可追问,如满意,请采纳,谢谢!
=1+2+3+4+5+6+7+8+1/6+1/12+1/20+1/30+1/42+1/56+1/72
=36+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=36+1/2-1/9
=36又7/18
1+2+3+4+5+6+7+8+9+1/6+1/12+1/20+1/30+1/42+1/56
=45+1/2-1/3+1/3-1/4+1/4-1/5+…1/8-1/9+1/9-1/10
=45+1/2-1/10
=44又5分之3
用计算机检查过了,一定正确,望采纳,谢谢!!
原式=1+2+3+...+9+(1/(2*(2+1))+1/(3*(3+1))+...+1/(9*(9+1)))
=1+2+3+...+9+(1/2-1/3+1/3-1/4+...+1/9-1/10)
=45+(1/2-1/10)
=45+2/5
=45.4