In geometric sequences, the term-to-term rule is to multiply or divide by the same value. Learn other sequences including square numbers and the Fibonacci sequence.

The number of sequences that can be written is infinite since any random list of numbers will do. But some types of sequences are decidedly non-random—one of which being the geometric sequence.

Several papers have investigated sequences which have no k-term arithmetic progressions, finding bounds on their density and looking at sequences generated by greedy algorithms. Rankin in 1960 ...