有理数乘方中蕴含的规律1³=1²,1³+2³=3²,1³+2³+3³=6²,1³+2³+3³+4³=10²,...若1³+2³+3³+...+2012³=a²,求正数a的值.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/14 00:47:10
![有理数乘方中蕴含的规律1³=1²,1³+2³=3²,1³+2³+3³=6²,1³+2³+3³+4³=10²,...若1³+2³+3³+...+2012³=a²,求正数a的值.](/uploads/image/z/1274130-18-0.jpg?t=%E6%9C%89%E7%90%86%E6%95%B0%E4%B9%98%E6%96%B9%E4%B8%AD%E8%95%B4%E5%90%AB%E7%9A%84%E8%A7%84%E5%BE%8B1%26%23179%3B%3D1%26%23178%3B%2C1%26%23179%3B%2B2%26%23179%3B%3D3%26%23178%3B%2C1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%3D6%26%23178%3B%2C1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B4%26%23179%3B%3D10%26%23178%3B%2C...%E8%8B%A51%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B...%2B2012%26%23179%3B%3Da%26%23178%3B%2C%E6%B1%82%E6%AD%A3%E6%95%B0a%E7%9A%84%E5%80%BC.)
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有理数乘方中蕴含的规律1³=1²,1³+2³=3²,1³+2³+3³=6²,1³+2³+3³+4³=10²,...若1³+2³+3³+...+2012³=a²,求正数a的值.
有理数乘方中蕴含的规律
1³=1²,1³+2³=3²,1³+2³+3³=6²,1³+2³+3³+4³=10²,...若1³+2³+3³+...+2012³=a²,求正数a的值.
有理数乘方中蕴含的规律1³=1²,1³+2³=3²,1³+2³+3³=6²,1³+2³+3³+4³=10²,...若1³+2³+3³+...+2012³=a²,求正数a的值.
a=1+2+.+2012=(1+2012)*2012/2=2025078