计算:2008²-2007²+2006²-2005²+……+2²-1
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 03:06:13
![计算:2008²-2007²+2006²-2005²+……+2²-1](/uploads/image/z/190625-41-5.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A2008%26%23178%3B-2007%26%23178%3B%2B2006%26%23178%3B-2005%26%23178%3B%2B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1)
计算:2008²-2007²+2006²-2005²+……+2²-1
计算:2008²-2007²+2006²-2005²+……+2²-1
计算:2008²-2007²+2006²-2005²+……+2²-1
=(2008+2007)*(2008-2007)+(2006+2005)*(2006-2005)……+(2+1)*(2-1)
=2008+2007+2006+2005……+2+1
=【2008(1+2008)】/2
=2017036