**Demonstrations of Reflections in Math


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Recursion Programming Project

Pascals Triangle

Pascals Triangle presents a simple formula for expanding binomials. If you think a little bit about how Pascal's Triangle determines each term, you should see that a recursive method is used!
The animation below demonstrates the recursive nature of Pascal's Triangle.

Programming Project



Part I
Objective: to employ recursion to be able to print out an entire line of Pascal's Triangle . Look at the animation, getting a particular term in a line is inherently recursive. This class should throw an ArithmeticException if you attempt to calculate an invalid Term. (quick example of how to throw an Exception)
Hint: You only need to use recusion to get the term of the expansion.
Password for a solution

Part II

Now that you can print out an entire line of Pascal's Triangle. Print out the entire triangle up to some degree 'n'.

Pascal's Triangle


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