几何级数英文解释翻译、几何级数的近义词、反义词、例句
英语翻译：
【计】 geometric progression【经】 geometric progression
分词翻译：
几何的英语翻译：
geometry; how many; how much级数的英语翻译：
progression; series【经】 progression
网络扩展解释
几何级数
几何级数（jǐ hé jí shù）又称等比数列求和，是数学中重要的级数之一。几何级数由公比连乘而成，它的通项公式可表示为an = a1 * rn-1，其中a1为初始项，r为公比，n为项数。几何级数收敛的条件是公比r小于1，而发散的条件是r大于或等于1。
英文解释翻译
Geometric series
英文读音
[ˌdʒiːəʊˈmetrɪk ˈsɪəriːz]
英文用法
The sum of a geometric series is given by the formula Sn = a1 * (1 - rn) / (1 - r), where Sn is the sum of the first n terms of the series, a1 is the initial term, and r is the common ratio. The formula is valid only for r not equal to 1.
英文例句
- The sum of the geometric series 1, 2, 4, 8, 16, ... is 31.
- The geometric series 3, 6, 12, 24, ... has a common ratio of 2.
- A geometric series can be used to calculate the value of an annuity.
英文近义词
- Geometric progression: a sequence of numbers in which each term after the first is obtained by multiplying the preceding term by a fixed factor.
- Infinite geometric series: a geometric series with an infinite number of terms.
英文反义词
- Arithmetic series: a sequence of numbers in which each term is obtained by adding a fixed amount to the preceding term.
英文单词常用度
根据Google Ngram Viewer的统计， "geometric sequence"的使用频率远高于"geometric series"，但"geometric series"的使用频率也一直保持着稳定的上升趋势。