1/2x5 +1/5x8 +1/8x11+……+1/2009x2012=?

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1/2x5+1/5x8+1/8x11+……+1/2009x2012=?1/2x5+1/5x8+1/8x11+……+1/2009x2012=?1/2x5+1/5x8+1/8x11+……+1/2009x2

1/2x5 +1/5x8 +1/8x11+……+1/2009x2012=?
1/2x5 +1/5x8 +1/8x11+……+1/2009x2012=?

1/2x5 +1/5x8 +1/8x11+……+1/2009x2012=?
=1/3×(1/2-1/5+1/5-1/8+1/8-1/11+...+1/2009-1/2012)
=1/3×(1/2-1/2012)
=1/3×1005/2012
=335/2012