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=_________.
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![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=_________.](/uploads/image/z/1674879-15-9.jpg?t=1%2F1x2%3D1-1%2F2%3B1%2F2x3%3D1%2F2-1%2F3%3B1%2F3x4%3D1%2F3-1%2F4%3B1%2F4x5%3D1%2F4-1%2F5%3B..%EF%BC%881%EF%BC%891%2Fn%28n%2B1%29%3D____%28n%E6%98%AF%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89%EF%BC%882%EF%BC%891%2F1x2%2B1%2F2x3%2B1%2F3x4%2B.1%2F99x100%3D_________.)
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=_________.
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=_________.
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=_________.
(1)1/n - 1/n+1
(2)1-1/100=99/100