通式1/a(a+2)=[1/a-1/(a+2)]/2
代入得:
1/2*4+1/4*6+1/6*8+1/8*10+.+1/18*18
=(1/2-1/4+1/4-16+.+1/18-1/20)/2
=(1/2-1/20)/2
=9/40