0
A recursive function is one in which the value of a function at each point depends on its value at one or more previous points. A rercursive function requires the first few values to be defined normally - these are called bases.
Perhaps one of the most famous recursive function is the Fibonacci series, which has
f(1) = 1
f(2) = 1
f(n) = f(n-1) + f(n-2) for n = 3, 4, 5, ...
There are two bases and each subsequent value is defined in terms of the preceding two.
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Taiga
SteveAdd your answer:
Earn +20 pts
What is a recursive formula and what is it used for Geometric and Arithmetic?
A recursive definition is any definition that uses the thing to be defined as part of the definition. A recursive formula, or function, is a related formula or function. A recursive function uses the function itself in the definition. For example: The factorial function, written n!, is defined as the product of all the numbers, from 1 to the number (in this case "n"). For example, the factorial of 4, written 4!, is equal to 1 x 2 x 3 x 4. This can also be defined as follows: 0! = 1 For any "n" > 0, n! = n x (n-1)! For example, according to this definition, the factorial of 4 is the same as 4 times the factorial of 3. Try it out - apply the recursive formula, until you get to the base case. Note that a base case is necessary; otherwise, the recursion would never end.
What is the definition of recursive?
The term recursive refers to the recurrence or repetition.
How is the value of any term calculated if the position of term is known?
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines the sequence.
What is recursive rule?
A recursive rule is one which can be applied over and over again to its own output
What is analysis of recursive program?
1) Recursive algorithms 2) Basic Principle 3) Analysis
