等比数列
等比数列，又名几何数列。是一种特殊数列。它的特点是：从第2项起，每一项与前一项的比都是一个常数。
例如数列![2,4,8,16,32,\cdots,2^{197},2^{198},2^{199},\cdots](/Images/godic/202501/15/55ca4cdd0e77d2a6a7e64c07202f547e3316.png")
。
这就是一个等比数列，因为第二项与第一项的比和第三项与第二项的比相等，都等于2，![2^{198}](/Images/godic/202501/15/e788eebf3879b788b0c12ecee5ac8e943316.png")
与![2^{197}](/Images/godic/202501/15/a39da0a078c34a21da12f66072e7399e3316.png")
的比也等于2。如2这样后一项与前一项的比称公比，符号为![q](/Images/godic/202501/15/7694f4a66316e53c8cdd9d9954bd611d3316.png")
。
geometric progression
英汉-汉英词典
n. 等比级数
词组 | 习惯用语
您要查找的是不是：
geometrical progression 几何级数; 等比级数; 随顺着几何学比例; 几何等比级数;
geometric progressions 几何级数增加
a geometric progression 几何学的进步
partial geometric progression 偏置等比级数
geometric progression growth 等比级数
GP Geometric Progression 多少级数；几何级数等比级数
oscillating geometric progression 振荡几何级
increase by geometric progression 呈几何级数增长
geometric progression [数] 几何级数；[数] 等比级数
英语例句库
- Population is increasing in that country in a geometric progression.
那个国家的人口正以几何级数增长。 - The E optotype on the chart had 3 limbs of equal length.A regular geometric progression of optotype sizes and distribution was employed to arrange 14 lines with 4 optotypes on each line.
采用三划等长的E形视标，视标大小及排列采用均匀的几何增率，每行视标数为4个，共14行，每两行视标变化进率为拶而。
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Geometric progression 等比数列
![Diagram illustrating three basic geometric sequences of the pattern 1(rn−1) up to 6 iterations deep. The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively.](/Images/godic/202501/15/Geometric_sequences.svg3316.png")
![Diagram showing the geometric series 1 + 1/2 + 1/4 + 1/8 + ⋯ which converges to 2.](/Images/godic/202501/15/Geometric_progression_convergence_diagram.svg3316.png")
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.
近义、反义、联想词
近义词
n.progression, patterned advance
英英词典
geometric progression n.
- (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term