1/2*4+1/4*6+1/6*8+...+1/2008*2010 原式=
问题描述:
1/2*4+1/4*6+1/6*8+...+1/2008*2010 原式=
答
=1/2(1/2-1/4)+1/2(1/4-1/6)+...1/2(1/2008-1/2010)
=1/2(1/2-1/4+1/4-1/6+...+1/2008-1/2010)
=1/2(1/2-1/2010)
=1/2*1004/2010
=502/2010
=251/1005