What Is the Nth Term in Mathematics?

In math, the term n of a sequence refers to the algebraic representation of any given term in the sequence. This contrasts with the specific values of named sequence terms such as the first term and second term.

When analyzing sequences, it is helpful to determine the rule that governs how additional numbers in the sequence are derived from earlier ones. In the example sequence 20, 40, 60, 80, ..., each subsequent term increases by 20 from the previous one. The first term is 20, the second is 40, and the nth term is given by the formula x = 20 times n. By determining the value of the nth term, one can identify the values of terms that appear much later in the sequence without needing to rely on numerous repeated computations.