几何级数 () — geometric progression; geometric series

Définition

A math term for a sequence where each term is the previous one multiplied by a fixed ratio (e.g. 2, 4, 8, 16). Contrast with 算术级数 (arithmetic progression), which adds a fixed difference instead.

noun
geometric progressiongeometric series

Exemples

  • 几何级数
    Zhè ge jī zēng zhǎng dé hěn kuài, měi gè shù shì qián yí gè shù de liǎng bèi.
    This geometric progression grows very fast; each number is twice the previous one.
  • 几何级数nS=a(1-r^n)/(1-r)
    Jì suàn jī qián n xiàng hé de gōng shì 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
    jī Hé suàn shù jí shù bù yí yàng, tā shì àn gù dìng bǐ lì zēng jiā de.
    Geometric progressions are different from arithmetic progressions; they increase by a fixed ratio.

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