若T(n)=(1/n)+(1/n+2)+(1/n+3)…+1/2n,则T（n+1）-T(n)=

Question

若T(n)=(1/n)+(1/n+2)+(1/n+3)…+1/2n,则 T（n+1）-T(n)=

Answer 1

是不是T(n)中还有一项是1/（n+1）啊?
若有则,T（n+1）-T(n)=1/（2n+1）+1/（2n+2）-1/n
若无则,T（n+1）-T(n)= 1/（n+1）+1/（2n+1）+1/（2n+2）-1/n