计算:2014²-2013²+2012²-2011²+·········4²-3²+2²-1²

问题描述:

计算:2014²-2013²+2012²-2011²+·········4²-3²+2²-1²

=(2014+2013)+(2012+2011)-----+(2+1)
=(2014+1)*2014/2
=2015*1007
=2029105