1/1X2+1/2X3+1/3X4……+1/99X100=?简算要简算过程.

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1/1X2+1/2X3+1/3X4……+1/99X100=?简算要简算过程.1/1X2+1/2X3+1/3X4……+1/99X100=?简算要简算过程.1/1X2+1/2X3+1/3X4……+1/99

1/1X2+1/2X3+1/3X4……+1/99X100=?简算要简算过程.
1/1X2+1/2X3+1/3X4……+1/99X100=?简算
要简算过程.

1/1X2+1/2X3+1/3X4……+1/99X100=?简算要简算过程.
1/n(n+1)=1/n-1/(n+1)
1/1X2+1/2X3+1/3X4……+1/99X100=1/1-1/2+1/2-1/3+……+1/99-1/100
=1-1/100
=0.99

1/n*(n+1)
用数列求和公式计算

1-1/2+1/2-1/3+1/3-1/4……+1/99-1/100=1-1/100=99/100