1/1*2+1/2*3+1/3*+...1/101*102=
问题描述:
1/1*2+1/2*3+1/3*+...1/101*102=
答
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/101-1/102)=1-1/102=101/102
1/1*2+1/2*3+1/3*+...1/101*102=
原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/101-1/102)=1-1/102=101/102