Answer
$\{{{a}_{n}}\}={{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},......,{{a}_{n}},....$ represents an infinite sequence, a function whose domain is the set of positive integers. The function values ${{a}_{1}},{{a}_{2}},{{a}_{3}},....$are called the terms.
Work Step by Step
From the definition of a sequence, we know that an infinite sequence $\{{{a}_{n}}\}$ is a function having a set of positive integers as its domain. The function values, or terms, of the sequence are represented by ${{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},......,{{a}_{n}}.$ Sequences whose domains consist only of the first n positive integers are called finite sequences.
