计算100²-99²+98²²-97²+…+2²-1
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 20:30:06
![计算100²-99²+98²²-97²+…+2²-1](/uploads/image/z/241012-28-2.jpg?t=%E8%AE%A1%E7%AE%97100%26%23178%3B-99%26%23178%3B%2B98%26%23178%3B%26%23178%3B-97%26%23178%3B%2B%E2%80%A6%2B2%26%23178%3B-1)
计算100²-99²+98²²-97²+…+2²-1
计算100²-99²+98²²-97²+…+2²-1
计算100²-99²+98²²-97²+…+2²-1
100²-99²+98²²-97²+…+2²-1
=(100^2-99^2)+(98^2-97^2)+...+(2^2-1^2)
=100+99+98+87+...+2+1
=100x(100+1)/2
=5050