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词汇 Geometrical progression
分类 英语词汇 英语翻译词典
释义

Geometrical progression

原声例句
漫长的告别（下）

Beyond that the difficulty of solving them rises in almost geometrical progression.

除此之外，解决它们的难度几乎呈几何级数上升。

还乡

Wildeve forgot the loss of the money at the sight of his lost love, whose preciousness in his eyes was increasing in geometrical progression with each new incident that reminded him of their hopeless division.

韦狄一见到他失去的爱人，顿时就把输钱一事忘了，每当新发生什么事都让他想起他们之间使人绝望的分离，她的那份珍贵在他眼里，就以几何级数增加。

中文百科

等比数列 Geometric progression

（重定向自Geometrical progression）

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。

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}与2^{197}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。

英语百科

Geometric progression 等比数列

（重定向自Geometrical progression）
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.
Diagram showing the geometric series 1 + 1/2 + 1/4 + 1/8 + ⋯ which converges to 2.

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.
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