In mathematics and computer science, a recursive definition, or inductive definition, is used to define the elements in a set in terms of other elements in the set. Some examples of recursively-definable objects include factorials, natural numbers, Fibonacci numbers, and the Cantor ternary set.

What is the recursive definition in math?

A recursive function is a function that calls itself, meaning it uses its own previous terms in calculating subsequent terms. ... This is a real-world math recursive function.

What is a recursive definition of a sequence?

A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference , d , you can find the (n+1)th term using the recursive formula an+1=an+d .