The above sequences are simpler sequences, but there are sequences that are defined by significantly more complex rules.

Or any other combination of those four numbers. Using the example above, for a sequence, it is important that the numbers are written as:įor a set however, the numbers could be written the exact same way as above, or as Sequences are similar to sets, except that order is important in a sequence. The sequence above is a sequence of the first 4 even numbers. A finite sequence may be written as follows:

The “…” at the end signifies that the sequence continues infinitely.

They follow what can be referred to as a rule, which enables you to determine what the next number in the sequence is.įor example, the following is a simple sequence comprised of natural numbers that starts from 1 and increases by 1:Įach number in this sequence is commonly referred to as an element, term, or member. In math, a sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.