Question

Identify the true statement about choosing a recursive method.

a. The problem naturally has a recursive solution.
b. Reaching a base case everytime is not necessary.
c. It’s not mandatory to cover all base cases.
d. A recursive solution is always better than a non-recursive solution.

Answer 1

The true statement about choosing a recursive method is that the problem naturally has a recursive solution. It is essential to reach a base case and ensure all base cases are covered, and recursive solutions are not always preferred over non-recursive ones.

Step-by-step explanation:

When choosing a recursive method, a good indicator that recursion is suitable is when the problem naturally has a recursive solution. This means the problem can be broken down into smaller instances of the same problem, ultimately reaching a base case. A base case is essential to prevent infinite recursion and to allow the recursive calls to eventually terminate. Therefore, it is important that a base case is reached every time and all base cases are covered to ensure correct functionality of the recursion. Lastly, it is a common misconception that recursions are always the best approach; however, a recursive solution is not always better than a non-recursive solution. It depends on the context and the specific problem at hand.

Answer 2

The true statement about choosing a recursive method is that the problem naturally has a recursive solution.

Step-by-step explanation:

The true statement about choosing a recursive method is that the problem naturally has a recursive solution.

Choosing a recursive method is appropriate when the problem can be expressed in terms of smaller instances of the same problem. In other words, the problem can be divided into sub-problems that are similar in nature to the original problem.

For example, calculating the factorial of a number can be solved recursively by expressing the factorial of n as n times the factorial of (n-1). This recursive solution is natural and intuitive for this problem.