Definition

Examples

• 这个几何级数增长得很快，每个数是前一个数的两倍。
  Zhège jī zēngzhǎng de hěn kuài, měi ge shù shì qián yí ge shù de liǎng bèi.
  This geometric progression grows very fast; each number is twice the previous one.
• 计算几何级数前n项和的公式是S=a(1-r^n)/(1-r)。
  Jìsuàn jī qián n xiàng hé de gōngshì shì S=a(1-r^n)/(1-r).
  The formula for the sum of the first n terms of a geometric series is S=a(1-r^n)/(1-r).
• 几何级数和算术级数不一样，它是按固定比例增加的。
  jī hé suànshù jíshù bù yíyàng, tā shì àn gùdìng bǐlì zēngjiā de.
  Geometric progressions are different from arithmetic progressions; they increase by a fixed ratio.