Can we use a recursive function to express an ordinal sequence in Python?

Asked 2 weeks ago, Updated 2 weeks ago, 0 views

Can we use a recursive function to express an ordinal sequence in Python? It's like representing a Fibonacci sequence as a recursive function.

python recursive sequence

2022-09-20 15:50

1 Answers

The recursive function is the same concept as the ignition equation that describes only the relationship between the nth term and the n-1 term.

The ignition equation of the ordinal sequence is

A(n) = A(n-1)  + d

It's this.

You can use this as a recursive function.

def A(n):
    return A(n-1) + d

But there's something missing from the definition of an ordinal sequence. The initial term A(0) = A_0. The recursive function requires the same thing.

def A(n):
    if n == 0:
        return A_0
    return A(n-1) + d

This is a general expression, and the values of A_0, d must be given explicitly to define which ordinal sequence it is. A(n) = 3n + 2 If A_0 is 2, d is 3, and the definition of the recursive function is

def A(n):
   if n == 0:
     return 2
   return A(n-1) + 3

I'll be like this.

Because using the general expression of an ordinal sequence is much more computationally beneficial, no one would define it as a recursive function, but it's conceptually like this.

The Fibonacci recursive function is also easily understood when compared to the Fibonacci igniter.


2022-09-20 15:50

If you have any answers or tips


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