1/2*1/4+1/4*1/6+1/6*1/8.1/2012*1/2014简便方法计算

问题描述:

1/2*1/4+1/4*1/6+1/6*1/8.1/2012*1/2014简便方法计算

=1/2×[(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+……+(1/2012-1/2014)]

=1/2×(1/2-1/2014)

=503/2014