原式=1/2+1/3-(1/3+1/4)+1/4+1/5-(1/5+1/6)+1/6+1/7-(1/7+1/8)+1/8+1/9-(1/9+1/10)
=1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8+1/8+1/9-1/9-1/10
=1/2-1/10
=5/10-1/10
=2/5
注意:5/6=5/(2×3)=1/2+1/3
列項
5/6-7/12+9/20-11/30+13/42-15/56+17/72-19/90=
5/6-7/12+9/20-11/30+13/42-15/56+17/72-19/90=
數(shù)學(xué)人氣:273 ℃時間:2019-08-22 11:08:44
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