Brand, Louis Formerly, Department of Mathematics, University of Houston, Houston, Texas.
Last reviewed:August 2020
- Arithmetic progressions
- Geometric progressions
- Harmonic progression
- Sum sequence
- Related Primary Literature
- Additional Reading
Ordered, countable sets of numbers, x1, x2, x3,…, not necessarily all different. In general such sets are called sequences, whereas the term progression is usually confined to the special types: the arithmetic, in which the difference xk − xk−1 between successive terms is constant; the geometric, in which the ratio xk/xk−1 is constant; and the harmonic, in which the reciprocals of the terms are in arithmetic progression.
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