1) double equal ratio series
双等比数列
1.
The definition of double equal ratio series is given in the paper and the general term and formula of former n terms are given.
给出了双等比数列的定义和三等比数列概念,推证出双等比数列和三等比数列的通项公式和前n项和公式,最后给出了三等比数列的概念、通项公式和前n项和公式。
2) geometrical sequence
等比数列
1.
This article discussed the new qualities and the prove of geometrical sequence and arithmetical sequence.
介绍了等比数列和等差数列的两个新性质及其发现、证
3) m geometric number sequence
m等比数列
4) three equal ratio series
三等比数列
1.
In the end,conception of the three equal ratio series, general term and formula of former n terms are foun
给出了双等比数列的定义和三等比数列概念,推证出双等比数列和三等比数列的通项公式和前n项和公式,最后给出了三等比数列的概念、通项公式和前n项和公式。
5) geometric-arithmetic sequence
等比差数列
1.
In this paper, the sum of geometric-arithmetic sequences is given, and their simple applacations are discussed.
讨论了等比差数列的求和并由此得到几个恒等式。
6) non geometrical sequence
非等比数列
1.
In this paper, a constructive method for a kind of single even order magic squares generated by non geometrical sequences is obtained and realized on computer.
本文得出了一类单偶阶非等比数列乘幻方的构造法并用微机实现它。
补充资料:等比数列
等比数列 geometric sequence 从第二项起每一项与前一项的比等于同一个数的数列。又称几何数列。相邻两项的比称为等比数列的公比,如果用q表示等比数列a1,a2,…,an…的公比,那么等比数列的通项公式是an=a1qn-1,用a1和q也可将等比数列写成a1,a1q1…,a1qn-1,…(a1≠0,q1≠0)。 等比数列的前n项的和Sn可以用a1和q表为由得 到=an-1·an+1,从而有 ,可知 等比数列从第二项起,每项的绝对值等于前后两个相邻项绝对值的几何平均值。 |
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