progression

PROGRES'SION, n. [L. progressio, progredior.]

1. The act of moving forward; a proceeding in a course; motion onwards.

2. Intellectual advance; as the progression of thought.

3. Course; passage.

4. In mathematics, regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical or geometrical. Continued arithmetical proportion, is when the terms increase or decrease by equal differences. Thus,

2. 4. 6. 8. 10.

. 8. 6. 4. 2. by the difference 2.

Geometrical proportion or progression, is when the terms increase or decrease by equal ratios. Thus,

2. 4. 8. 16. 32. 64.

64. 32. 16. 8. 4. 2. by a continual multiplication or division by 2.