Sequences of Integers
Certain sequences of numbers, as well as problems relating to them, appear throughout mathematics. Determining the general term of an arithmetic or geometric progression, as well as determining the sum of (finitely) many consecutive terms of these sequences, are common high school problems. A residue class for a given modulus also constitutes an arithmetic progression. In Chapter 2 various problems relating to both disjoint Systems of congruences as well as covering Systems of congruences for different moduli were discussed; many of these are still unsolved.
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