Using java For the next three questions, we will implement the recursive functio

Question

Using java For the next three questions, we will implement the recursive function for computing the sum of digits of a number n. The sum of digits of a number n is defined as: d_n + d_n - 1 + d_n - 2 + d_n - 3 + + d_0 where d is a digit between 0 and 9 in the number n. Example: 12345 12345 = 1 + 2 + 3 + 4 + 5 = 15 Example: 56461321 56461321 = 5 + 6 + 4 + 6 + 1 + 3 + 2 + 1 = 28 (a) What is the base case (Stopping point) of the recursive function? (b) What is the recursive call for the recursive function. (c) with a and b, implement the recursive function for computing n! public static int sumOfDigits (int n) {

Explanation / Answer

answer1:

answer A:

Recursion means defining a problem in terms of itself. Recursion comes directly from Mathematics, where there are many examples of expressions written in terms of themselves. For example, the Fibonacci sequence is defined as: F(i) = F(i-1) + F(i-2).

answer B:

The second part of the defintion refers to a cycle (or potential cycle if we use conditional statements) which involves other functions.

Consider the following directed call graph

   A ---------> B
   ^ |
   | |
   | |
   |---- C <---

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