1) 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。
2) geometric sequence of difference
阶差等比数列
3) arithmetic-geometric mean sequence of numbers
等差-等比中项数列
4) arithmetic progression
等差数列
1.
Study of quantitative diagnostic method of wind observation data ——utility of arithmetic progression;
测风记录定量诊断方法的研究——等差数列的利用
2.
A core property of the arithmetic progression is the same difference.
等差是等差数列最核心的本质特征。
3.
The article approaches the resolution of the sum of preceding N terms among a type of particular sequence,which consists of arithmetic product of arithmetic progression or arithmetic product reciprocal.
对由等差数列的乘积以及乘积的倒数所构成的一类特殊的数列的前n项和的求解作了探讨,得出两个定理及6个推论以及应用。
5) arithmetic series
等差数列
1.
The paper presents a further extension of a problem of sum limit from {n] to the arithmetic series {a_n].
将一和式极限问题中的特殊数列{n}推广到一般的等差数列{an},使得所得公式适用于求更广泛的和式的极限。
2.
If{a n} is arithmetic series with the first term a 1>0 ,and the common difference d>0 and s>0, writing as p n=mk=1(1+sa k), this paper gives a class of inequalities of the upper and lower bound of p n.
若 {an}是等差数列 ,首项a1>0 ,公差d >0 ,s >0 ,记Pn= nk =1 (1+ sak) 。
6) arithmetic sequence
等差数列
1.
A property of finite arithmetic sequences and its application;
关于有穷等差数列的一个性质
2.
The essay obtains a set of more universal inequality by studying several inequality of the power of positive term arithmetic sequence.
本文通过对正项等差数列方幂的若干不等式研究,得出了一组更具普遍性的不等式。
3.
Finally,a series of the combinatorial identity are abtained by applying two Vandermonde typed determinant and the property of the arithmetic sequence.
利用一元多项式的思想给出了Vandermonde行列式的一种计算法,接着利用此方法讨论了具有Vandermonde类型行列式的计算,最后使用两个Vandermonde类型行列式和等差数列的性质构造一系列组合恒等式。
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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