2014²-2013²+2012²-2011²+···+4²-3²+2²-1²简算,求大神
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 12:07:38
![2014²-2013²+2012²-2011²+···+4²-3²+2²-1²简算,求大神](/uploads/image/z/589065-33-5.jpg?t=2014%26%23178%3B-2013%26%23178%3B%2B2012%26%23178%3B-2011%26%23178%3B%2B%C2%B7%C2%B7%C2%B7%2B4%26%23178%3B-3%26%23178%3B%2B2%26%23178%3B-1%26%23178%3B%E7%AE%80%E7%AE%97%2C%E6%B1%82%E5%A4%A7%E7%A5%9E)
2014²-2013²+2012²-2011²+···+4²-3²+2²-1²简算,求大神
2014²-2013²+2012²-2011²+···+4²-3²+2²-1²
简算,求大神
2014²-2013²+2012²-2011²+···+4²-3²+2²-1²简算,求大神
平方差公式:
2014²-2013²+2012²-2011²+2010²……+2²-1²
=(2014+2013)(2014-2013)+(2012+2011)(2012-2011)+...+(2+1)(2-1)
=2014+2013+...+2+1
=(1+2014)×2014÷2
=2029105
自己做,不要光依靠电脑