50²-49²+48²-47²+...+2²-1=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 17:46:51
![50²-49²+48²-47²+...+2²-1=?](/uploads/image/z/2540829-21-9.jpg?t=50%26%23178%3B-49%26%23178%3B%2B48%26%23178%3B-47%26%23178%3B%2B...%2B2%26%23178%3B-1%3D%3F)
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50²-49²+48²-47²+...+2²-1=?
50²-49²+48²-47²+...+2²-1=?
50²-49²+48²-47²+...+2²-1=?
50²-49²=(50+49)×(50-49)=50+49
48²-47²=(48+47)×(48-47)=48+47
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2²-1=2+1
所以结果=50+49+.1=1275