An Analysis using Fibonacci series in C++ Recursion and Dynamic Programming are like two sides of the same coin. Both are widely used in many instances and here in this article, we are going to explore both approaches using a simple well-known example. First of all, what is recursion? Picture 1 - A small depiction of how recursion looks like Recursion is an approach where the solution of a problem depends on the solutions of the smaller instances of the same problem. Shortly, in recursion, a method calls itself to solve a problem. Example: Finding the factorial of an integer, say 4. We all know that 4! = 4x3x2x1 = 24. It can be done using a for loop like this. int fact = 1; for(int i = 4; i>0; i++) { fact = fact * i; } But when it comes to being in recursion? The process is simple. We can write 4! = 4x3! Similarly; 3! = 3x2! 2! = 2x1! 1! = 1 Here, each factorial calculation happens recursively. Picture 2 - How recursion works to calculate 4...