What Does Infinite Sequence Mean?
An infinite sequence is an endless progression of discrete objects, especially numbers. A sequence has a clear starting point and is written in a definite order. An infinite sequence may include all the numbers of a particular set, such as all positive integers {1, 2, 3, 4 …}. It could also be an arithmetic sequence or a geometric sequence. An infinite sequence was at the heart of the thought experiment called the Turing Machine.
Techopedia Explains Infinite Sequence
Humans have been trying to get a grasp on infinity since ancient times. In 1948, the computer scientist Alan Turing wrote about a machine with “an unlimited memory capacity obtained in the form of an infinite tape marked out into squares….” Despite the endless nature of the theoretical machine, it would be operated by a finite table of instructions.