I1/4-1/2I+I1/6-1/4I+I1/8-1/6I...+I1/2010-1/2008I
问题描述:
I1/4-1/2I+I1/6-1/4I+I1/8-1/6I...+I1/2010-1/2008I
答
I1/4-1/2I+I1/6-1/4I+I1/8-1/6I...+I1/2010-1/2008I
=1/2-1/4+1/4-1/6+1/6-1/8+^+1/2008-1/2010
=1/2-1/2010
=502/1005