# What does it mean when a sequence is defined recursively?

A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where.

Definition of recursive. 1 : of, relating to, or involving recursion a recursive function in a computer program. 2 : of, relating to, or constituting a procedure that can repeat itself indefinitely a recursive rule in a grammar. Other Words from recursive More Example Sentences Learn More about recursive.

Subsequently, question is, what is the definition of recursive formula in math? For a sequence a1, a2, a3, . . . , an, . . . a recursive formula is a formula that requires the computation of all previous terms in order to find the value of an . Note: Recursion is an example of an iterative procedure. See also. Explicit formula.

Furthermore, what is a recursive formula?

In a recursive formula, each term is defined as a function of its preceding term(s). A recursive formula designates the starting term, a1, and the nth term of the sequence, an , as an expression containing the previous term (the term before it), an1. The process of recursion can be thought of as climbing a ladder.

What is recursion function?

A recursive function is a function that calls itself during its execution. This enables the function to repeat itself several times, outputting the result and the end of each iteration. Below is an example of a recursive function.

### What does recursive mean in writing?

Writing is a process. “Recursive” simply means that each step you take in your writing process will feed into other steps: after you’ve drafted an essay, for instance, you’ll go do a bit of verification of some of your facts—and if you discover that you’ve gotten something wrong, you’ll go back to the draft and fix it.

### What are recursive rules?

We learned that a recursive rule is a rule that continually takes a previous number and changes it to get to a next number. For example, our counting numbers is a recursive rule because every number is the previous number plus 1.

### What is the long run value for a sequence?

The long run value is the number at which the percent increase or decrease equals the amount added to the number.

### What is the recursive rule for the sequence?

A recursive rule for a sequence is a formula which tells us how to progress from one term to the next in a sequence. Generally, the variable egin{align*}nend{align*} is used to represent the term number.