1/2x4+1/4x6+1/6x8+...+1/2006x2008=______要讲解,一步一步的讲解,
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![1/2x4+1/4x6+1/6x8+...+1/2006x2008=______要讲解,一步一步的讲解,](/uploads/image/z/763581-21-1.jpg?t=1%2F2x4%2B1%2F4x6%2B1%2F6x8%2B...%2B1%2F2006x2008%3D______%E8%A6%81%E8%AE%B2%E8%A7%A3%2C%E4%B8%80%E6%AD%A5%E4%B8%80%E6%AD%A5%E7%9A%84%E8%AE%B2%E8%A7%A3%2C)
1/2x4+1/4x6+1/6x8+...+1/2006x2008=______要讲解,一步一步的讲解,
1/2x4+1/4x6+1/6x8+...+1/2006x2008=______要讲解,一步一步的讲解,
1/2x4+1/4x6+1/6x8+...+1/2006x2008=______要讲解,一步一步的讲解,
1/2x4+1/4x6+1/6x8+...+1/2006x2008
=(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2006-1/2008)÷2
=(1/2-1/2008)÷2
=1003/2008÷2
=1003/4016
1/2x4+1/4x6+1/6x8+...+1/2006x2008
=1/2*1/2(1/1*2+1/2*3+1/3*4+...+1/1003*1004)
=1/4(1-1/2+1/2-1/3+1/3-1/4...+1/1003-1/1004)
=1/4(1-1/1004)
=1003/4016