计算50²-49²+48²-47平方+……+4²-3²+2²-1²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 09:52:34
![计算50²-49²+48²-47平方+……+4²-3²+2²-1²](/uploads/image/z/1997469-45-9.jpg?t=%E8%AE%A1%E7%AE%9750%26%23178%3B-49%26%23178%3B%2B48%26%23178%3B-47%E5%B9%B3%E6%96%B9%2B%E2%80%A6%E2%80%A6%2B4%26%23178%3B-3%26%23178%3B%2B2%26%23178%3B-1%26%23178%3B)
计算50²-49²+48²-47平方+……+4²-3²+2²-1²
计算50²-49²+48²-47平方+……+4²-3²+2²-1²
计算50²-49²+48²-47平方+……+4²-3²+2²-1²
50²-49²+48²-47²+···+2²-1²
=(50²-49²)+(48²-47²)+...+(2²-1²)
=(50-49)(50+49)+(48-47)(48+47)+...+(2-1)(2+1)
=50+49+48+47+...+2+1
=50(50+1)/2=1275