奧數問題解答

2007-11-22 11:10 pm
1/1x2 + 1/2x3 + 1/3x4 + ........ + 1/99x100 = ????

回答 (1)

2007-11-23 2:49 am
✔ 最佳答案
1/1x2=1/1-1/2
1/2x3=1/2-1/3
如此類推
=1/1-1/2+1/2-1/3+1/3-1/4+.........+1/99-1/100
=1/1-1/100
=1-1/100
=100/100-1/100
=99/100
參考: me


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