5X/1*2+5X/2*3+……5X/2004*2005
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5X/1*2+5X/2*3+……5X/2004*20055X/1*2+5X/2*3+……5X/2004*20055X/1*2+5X/2*3+……5X/2004*20055x/1*2+5x/2*3+……
5X/1*2+5X/2*3+……5X/2004*2005
5X/1*2+5X/2*3+……5X/2004*2005
5X/1*2+5X/2*3+……5X/2004*2005
5x/1*2+5x/2*3+……5x/2004*2005
=5x(1/1*2+1/2*3+……1/2004*2005)
=5x[(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2003-1/2004)+(1/2004-1/2005)]
=5x(1-1/2005)
=2004x/401
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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1x+2x+3x+4x+5x+6x+7x…+99x=100
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