关于等差数列前n项幂的和 |
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引用本文: | 廖宗璜. 关于等差数列前n项幂的和[J]. 贵州师范大学学报(自然科学版), 1987, 0(2) |
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作者姓名: | 廖宗璜 |
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作者单位: | 贵州师大数学系 |
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摘 要: | 自然数前n项的幂的和的计算是一个古老的经典问题,这个问题曾经被许多数学家们研究过:在这篇文章中,我们用初等方法计算 sum from k=1 to n([a+(k-1)d])~m的和,其中m、n是自然数。这个和是自然数前n项的幂的和的推广。
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The Power Sum of the First N Terms of Arithmetical Sequence |
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Abstract: | The calculation of the power sum of the first n terms of natural numbers was an ancient classical problem, which has been discussed by many mathematicians. In this paper, we have calculated the sum of by elemnetary methods, where m, n are natural numbers. The sum is the extension of power sum of the first n terms of natural numbers. |
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