2002²-2001²+2000²-1999²+···+2²-1²

问题描述:

2002²-2001²+2000²-1999²+···+2²-1²

2002²-2001²+2000²-1999²+···+2²-1²
=(2002-2001)(2002+2001)+(2000-1999)(2000+1999)+.+(2-1)(2+1)
=4003+3999+3993+.3