计算100²-99²+98²-97²+96²-95²+……+2²-1 的值计算100²-99²+98²-97²+96²-95²+……+2²-1 的值
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![计算100²-99²+98²-97²+96²-95²+……+2²-1 的值计算100²-99²+98²-97²+96²-95²+……+2²-1 的值](/uploads/image/z/241010-26-0.jpg?t=%E8%AE%A1%E7%AE%97100%26%23178%3B-99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%2B96%26%23178%3B-95%26%23178%3B%2B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1+%E7%9A%84%E5%80%BC%E8%AE%A1%E7%AE%97100%26%23178%3B-99%26%23178%3B%2B98%26%23178%3B-97%26%23178%3B%2B96%26%23178%3B-95%26%23178%3B%2B%E2%80%A6%E2%80%A6%2B2%26%23178%3B-1+%E7%9A%84%E5%80%BC)
计算100²-99²+98²-97²+96²-95²+……+2²-1 的值计算100²-99²+98²-97²+96²-95²+……+2²-1 的值
计算100²-99²+98²-97²+96²-95²+……+2²-1 的值
计算100²-99²+98²-97²+96²-95²+……+2²-1 的值
计算100²-99²+98²-97²+96²-95²+……+2²-1 的值计算100²-99²+98²-97²+96²-95²+……+2²-1 的值
100²-99²+98²-97²+96²-95²+……+2²-1
=(100+99)(100-99)+(98+97)(98-97)+……(2+1)(2-1)
=100+99+98+……+2+1
=101*50
=5050
100²-99²+98²-97²+96²-95²+……+2²-1
=(100+99)(100-99)+(98+97)(98-97)+……+(2+1)(2-1)
=199+195+……+7+3
=(199+3)×50/2
=101×50
=5050