计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 12:07:36
计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=
x @ E!}$ Y dqgw}ކ dOF4y`AFNANRJڦ?Ȋu].Rb[Pg vսW)|r:."le=Iy@K

计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=
计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=

计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=
1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)
=1/5*(1/6-1/11)+1/5*(1/11-1/16)+1/5*(1/16-1/21)+1/5*(1/21-1/26)+1/5*(1/26-1/31)+1/5*(1/31-1/36)
=1/5*(1/6-1/11+1/11-1/16+1/16-1/21+1/21-1/26+1/26-1/31+1/31-1/36)
=1/5*(1/6-1/36)
=1/5*(6/36-1/36)
=1/5*5/36
=1/36