计算2/(k+1)(k+3) +2/(k+3)(k+5)+…+2/(k+2003)(k+2005)

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计算2/(k+1)(k+3)+2/(k+3)(k+5)+…+2/(k+2003)(k+2005)计算2/(k+1)(k+3)+2/(k+3)(k+5)+…+2/(k+2003)(k+2005)计算2/

计算2/(k+1)(k+3) +2/(k+3)(k+5)+…+2/(k+2003)(k+2005)
计算2/(k+1)(k+3) +2/(k+3)(k+5)+…+2/(k+2003)(k+2005)

计算2/(k+1)(k+3) +2/(k+3)(k+5)+…+2/(k+2003)(k+2005)
=1/(k+1)-1/(k+3)+1/(k+3)-1/(k+5)+.+1/(k+2003)-1/(k+2005)
=1/(k+1)-1/(k+2005)
=2004/(k+1)(k+2005)