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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a1a2,…,an…的公比,那么!!!D0695_1等比数列的通项公式是ana1qn-1,用a1q也可将等比数列写成a1a1q1…,a1qn-1,…(a1≠0,q1≠0)。
    等比数列的前n项的和Sn可以用a1q表为!!!D0695_2!!!D0695_3 !!!D0695_4an-1·an+1,从而有!!!D0695_5 ,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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