计算:1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+...+1/(2003*2005*2007)=?
问题描述：
计算:1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+...+1/(2003*2005*2007)=?
答
1/(2n-1)(2n+1)(2n+3)=1/4[1/(2n-1)(2n+1)-1/(2n+1)(2n+3)]