(1)2004²-2003²+2002²-2001²+2000²-1999²+…+2²-1²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 00:05:27
![(1)2004²-2003²+2002²-2001²+2000²-1999²+…+2²-1²](/uploads/image/z/312232-40-2.jpg?t=%EF%BC%881%EF%BC%892004%26%23178%3B-2003%26%23178%3B%2B2002%26%23178%3B-2001%26%23178%3B%2B2000%26%23178%3B-1999%26%23178%3B%2B%E2%80%A6%2B2%26%23178%3B-1%26%23178%3B)
(1)2004²-2003²+2002²-2001²+2000²-1999²+…+2²-1²
(1)2004²-2003²+2002²-2001²+2000²-1999²+…+2²-1²
(1)2004²-2003²+2002²-2001²+2000²-1999²+…+2²-1²
=2004+2003+2002+2001+……+5+4+3
=(2004+1)×2004÷2-3
=2009007