1x1/3+1/(3x5)+1/(5x7)+...+1/(15x17)
=(1-1/3)/2+(1/3-1/5)/2+(1/5-1/7)/2+...+(1/15-1/17)/2
=(1-1/3+1/3-1/5+1/5-1/7+...+1/15-1/17)/2
=(1-1/17)/2
=8/17
1x1/3+1/(3x5)+1/(5x7)+...+1/(15x17)
=(1-1/3)/2+(1/3-1/5)/2+(1/5-1/7)/2+...+(1/15-1/17)/2
=(1-1/3+1/3-1/5+1/5-1/7+...+1/15-1/17)/2
=(1-1/17)/2
=8/17