2014²-2013²+2012²-2011²+···+4²-3
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:综合作业 时间:2024/06/14 07:10:49
2014²-2013²+2012²-2011²+···+4²-3²+2²-1²
简算,求大神
简算,求大神
![2014²-2013²+2012²-2011²+···+4²-3](/uploads/image/z/3099080-56-0.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%231)
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
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
2014²-2013²+2012²-2011²+···+4²-3
计算:2014²-2013²+2012²-2011²+·········4
2014²-2013²+2012²-2011²+···+2²-1
1²+2²+3²+4²+5² +···+n²=?
2012²-2011²+2010²-2009²8······+2²-1
直接求和:-1²+2²-3²+4²-5²+6²-······
1-2²+3²-4²+5²-6²+······+99²-10
1²-2²+3²-4²+5²-6²+····+99²
计算(1-1/2²)(1-1/3²)(1-1/4²)×···×(1-1/2013²
用分解因式方法作2012²-2011²+2010²-2009²+···+2
设计一个算法,计算1²-2²+3²-4²···+99²-100
计算1×2²+2×3²+3×4²+4×5²+······+18×19²