The formula is commonly used in mathematical logic and computer science to define an object with regards to its own properties. Recursive function in logic and mathematics a type of function or expression predicating some concept or property of one or more variables which is specified by a procedure that yields values or instances of that function by repeatedly applying a given relation or routine operation to known values of the function. Applying a rule or formula to its results again and again.
The recursive formula is a formula used to determine the subsequent term of a mathematical sequence using one or multiple of the preceding terms.
Let us look at a recursive function example for geometric series. For a sequence a1 a2 a3 an. Recursive definitions Peano had observed that addition of natural numbers can be defined recursively thus. For example the fact.