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Answer:

Sure. The Java code describes the computation you want done, just like the math-like definition of Triangle.


Complete Program

class TriangleCalc
{
  public int Triangle( int N )
  {
    if ( N == 1 )
      return 1;
    else
      return N + Triangle( N-1 );
  }
}

public class TriangleTester
{
  public static void main ( String[] args)
  {
    TriangleCalc tri = new TriangleCalc();
    int result = tri.Triangle( 4 );
    System.out.println("Triangle(4) is " + result );
  }
}

The above program tests this method. The value for N is hard-coded. Here is the output of the program:

C:\JavaSource>java TriangleTester
Triangle(4) is 10

Of course, it would be worth while to copy this program to a file and run it. You might wish to improve the program so that N is entered by the user. If you do, have main() test that N is positive before it calls Triangle.

There is a formula that gives the value of Triangle(N) in one step. But let us continue with the recursive definition.


QUESTION 9:

What is Triangle(500)?


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