What is the recursive formula?

A recursive formula is a mathematical formula that defines a sequence based on previous terms in the sequence. It is a way to describe a sequence by relating one term to the previous term(s) in the sequence.

In a recursive formula, the value of a term in the sequence is defined in terms of one or more previous terms in the sequence. This can be represented mathematically as follows:

(a_n = f(a_{n-1}, a_{n-2}, ..., a_1, a_0))

where (a_n) is the nth term in the sequence, (a_{n-1}) is the previous term, and (f) is a function that relates the current term to the previous terms.

Recursive formulas are often used in computer programming, where they are used to define functions that call themselves in order to solve a problem. They are also used in mathematics to describe sequences, such as the Fibonacci sequence, which is defined using a recursive formula.