计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=
问题描述:
计算1/(6*11)+1/(11*16)+1/(16*21)+1/(21*26)+1/(26*31)+1/(31*36)=
答
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+...