1/1x2=1-1/2;1/2x3=1/2-1/3;1/3x4=1/3-1/4;1/4x5=1/4-1/5;..(1)1/n(n+1)=____(n是正整数)(2)1/1x2+1/2x3+1/3x4+.1/99x100=_________.
问题描述:
1/1x2=1-1/2;1/2x3=1/2-1/3;1/3x4=1/3-1/4;1/4x5=1/4-1/5;..(1)1/n(n+1)=____(n是正整数)
(2)1/1x2+1/2x3+1/3x4+.1/99x100=_________.
答
(1)1/n - 1/n+1
(2)1-1/100=99/100