Sn=1-1/2+1/3-1/4+……+1/(2n-1)-1/2n
Sn=1-1/2+1/3-1/4+……+1/(2n-1)-1/2n
Tn=1/(n+1)+1/(n+2)+1/(n+3)+……+1/2n
用归纳法证明Sn=Tn
我求的是Sk+1=-1/2+1/3-1/4+……+1/(2k-1)-1/2k+1/(2k+1)-1/(2k+2)
那么Tk=1/(k+1)+1/(k+2)+1/(k+3)+……+1/2k-1+1/(2k+1)-1/(2k+2)
可是Tk没有办法证出相等...谁知道怎么证,
还有,如果写Tk+1的话,为什么会少一个(1/2k)项呢.(用Tk+1是别人算的,我忘了抄式子了,但是,前面的1/(k+1)肯定会删掉但为什么还少个1/2k呢?)