1/2X3X4+1/3X4X5+1/4X5X6+。。。。。。+1/99X100X101=?

1/2X3X4+1/3X4X5+1/4X5X6+。。。。。。+1/99X100X101=?
说明一下,是1/2乘以3乘以4,也就是分子是3乘以4,分母是2,不是2乘以3乘以4分之1,即不是分子是1,分母是2乘以3乘以4。谢谢各位的回答。请继续帮忙,正确的答案可加分100。

原式=1/2×(1/2*3-1/3*4+1/3*4-1/4*5+。。。。。+1/98*99-1/99*100)
=1/2(1/2×3-1/99×100)
=1/2×(1649-1)/9900
=824/9900
=206/2475
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第1个回答  2007-05-03
=1/2×(1/2*3-1/3*4+1/3*4-1/4*5+。。。。。+1/98*99-1/99*100)
=1/2(1/2×3-1/99×100)
=1/2×(1649-1)/9900
=206/2475
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