计算1/1*6+1/6*11+1/11*16+1/16*21+.+1/51*56

问题描述:

计算1/1*6+1/6*11+1/11*16+1/16*21+.+1/51*56

1/(1*6)=1/5*(/1-1/6)
1/(6*11)=1/5*(1/6-1/11)
……
1/1*6+1/6*11+1/11*16+1/16*21+.+1/51*56
=1/5*(1/1-1/6+1/6-1/11+1/11-1/16+……+1/51-1/56)
=1/5*(1-1/56)
=11/56