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)=?

1/(2n-1)(2n+1)(2n+3)=1/4[1/(2n-1)(2n+1)-1/(2n+1)(2n+3)]