计算1/2*4+1/4*6+1/6*8+.+1/2002*2004+1/2004*2006
问题描述:
计算1/2*4+1/4*6+1/6*8+.+1/2002*2004+1/2004*2006
答
1/2*4+1/4*6+1/6*8+.+1/2002*2004+1/2004*2006
=(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2002-1/2004+1/2004-1/2006)÷2
=(1/2-1/2006)÷2
=501/2006