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Answer:

It activates Triangle() with a parameter of 1.


Base Case

Four Activations

Finally we are at the base case. When Triangle() is activated with a parameter of 1, the if statement causes the value 1 to be immediately returned.

The chain of activations is called an activation chain. The picture shows the activation chain when it has reached the base case. The base case immediately returns a one.

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

Look at the activation where N = 2. The if-statement has selected the false-branch and Triangle(1) has just returned the value of one:

Activation of Triangle with two

QUESTION 16:

What value does this activation return to its caller?


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