Recursion:
In programming terms, a recursive function can be defined as a routine that calls itself directly or indirectly.
Using the recursive algorithm, certain problems can be solved quite easily. Towers of Hanoi (TOH) is one such programming exercise. Try to write an iterative algorithm for TOH. Moreover, every recursive program can be written using iterative methods.
Mathematically, recursion helps to solve a few puzzles easily.
For example, a routine interview question,
In a party of N people, each person will shake her/his hand with each other person only once.