(100²-99²)+(98²-97²)+…+(2²-1²)的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 20:51:49
![(100²-99²)+(98²-97²)+…+(2²-1²)的值](/uploads/image/z/8503004-20-4.jpg?t=%EF%BC%88100%26%23178%3B%EF%BC%8D99%26%23178%3B%EF%BC%89%EF%BC%8B%EF%BC%8898%26%23178%3B%EF%BC%8D97%26%23178%3B%EF%BC%89%EF%BC%8B%E2%80%A6%EF%BC%8B%EF%BC%882%26%23178%3B%EF%BC%8D1%26%23178%3B%EF%BC%89%E7%9A%84%E5%80%BC)
(100²-99²)+(98²-97²)+…+(2²-1²)的值
(100²-99²)+(98²-97²)+…+(2²-1²)的值
(100²-99²)+(98²-97²)+…+(2²-1²)的值
=(100+99)(100-99)+(98+97)(98-97)+...(2+1)(2-1)
=100+99+98+97+...+2+1
=(1+100)*100/2
=5050