思路:注意到加数项之间的规律.解:1/3+(1/3)/5+(1/5)/7+...(1/15)/17=1/(1*3)+1/(3*5)+1/(5*7)+...1/(15*17)=(1/2)(1/1-1/3)+(1/2)(1/3-1/5)+(1/2)(1/5-1/7)+...+(1/2)(1/15-1/17)=(1/2)[(1/1-1/3)+(1/3-1/5)+(1/5-1/...