Write a simple recursive program to demonstrate your understanding of the concept. What are the biggest benefits to creating a program or method that utilizes recursion in Java? In what scenario would it be appropriate to utilize a stack over a recursive implementation? Please provide an example to illustrate your points.

In your answer, specifically think of and give a real-life scenario where:

• Recursion is used
• Recursion is preferable over iteration

Please answer with around 2 paragraphs