Sequence and its types

A sequence is a list of items. We can specify any item in the list by its place in the list: first, second, third, fourth, and so on. Many useful lists have patterns so we know what items occur in each place in the list.

There are 2 kinds of sequences:

Finite Sequence: A finite sequence is a list made up of a finite number of items.

Infinite Sequence: An infinite sequence is a list that continues without end.

Examples of Finite Sequences:

Listed below are some examples of Finite Sequences.

Example 1) The sequence 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 is the sequence of the first 10 odd numbers.

Example 2) The sequence a, e, i, o, u, is the sequence of vowels in the alphabet.

Examples of Infinite Sequences:

Listed below are some examples of Infinite Sequences.

Example 1) The sequence 2, 4, 6, 8, 10, 12, 14, 16, ... is the sequence of even whole numbers. The 100th place in this sequence is the number 200.

Example 2) The sequence a, b, c, a, b, c, a, b, c, a, b, ... is the sequence of the letters a, b, c, repeating in this pattern forever.