100²-99²+98²-97²+……+2²-1² 这题怎么算?100²-99²+98²-97²+……+2²-1² 这题怎么算?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/14 01:30:45
![100²-99²+98²-97²+……+2²-1² 这题怎么算?100²-99²+98²-97²+……+2²-1² 这题怎么算?](/uploads/image/z/6966598-22-8.jpg?t=100%26%23178%3B%EF%BC%8D99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%EF%BC%8B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1%26%23178%3B+%E8%BF%99%E9%A2%98%E6%80%8E%E4%B9%88%E7%AE%97%3F100%26%23178%3B%EF%BC%8D99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%EF%BC%8B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1%26%23178%3B+%E8%BF%99%E9%A2%98%E6%80%8E%E4%B9%88%E7%AE%97%3F)
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100²-99²+98²-97²+……+2²-1² 这题怎么算?100²-99²+98²-97²+……+2²-1² 这题怎么算?
100²-99²+98²-97²+……+2²-1² 这题怎么算?
100²-99²+98²-97²+……+2²-1² 这题怎么算?
100²-99²+98²-97²+……+2²-1² 这题怎么算?100²-99²+98²-97²+……+2²-1² 这题怎么算?
=(100-99)(100+99)+(98-97)(98+97)...+(2-1)(2+1)
=1+100+99+1+98+97+...+1+2+1
=50+5050
=5100