1/2X4+1/4X6+1/6X8+.+1/198X200要过程加答案(或者直接答案)
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1/2X4+1/4X6+1/6X8+.+1/198X200要过程加答案(或者直接答案)
![1/2X4+1/4X6+1/6X8+.+1/198X200要过程加答案(或者直接答案)](/uploads/image/z/19462682-2-2.jpg?t=1%2F2X4%2B1%2F4X6%2B1%2F6X8%2B.%2B1%2F198X200%E8%A6%81%E8%BF%87%E7%A8%8B%E5%8A%A0%E7%AD%94%E6%A1%88%EF%BC%88%E6%88%96%E8%80%85%E7%9B%B4%E6%8E%A5%E7%AD%94%E6%A1%88%EF%BC%89)
1/2×4+1/4×6+1/6×8+.+1/198×200
=(1/2)(1/2-1/4+1/4-1/6+1/6-1/8+...+1/198-1/200)
=(1/2)(1/2-1/200)
=(1/2)(99/200)
=99/400
=(1/2)(1/2-1/4+1/4-1/6+1/6-1/8+...+1/198-1/200)
=(1/2)(1/2-1/200)
=(1/2)(99/200)
=99/400
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