Prove by induction that:
I seem to understand the components of this problem as I feel comfortable with the inductive proof process and I can solve for the modulus of complex numbers, e.g., if then . I also see that the two shorter sides of a triangle must be at least the length of the longest side and, if they are not parallel with it, then their sum must be greater than the longest side etc. However, I am not sure how to start with this inductive proof. How do I test the base case if z represents a complex number and I don't know the formula for it? How do I sub in a value for it?
How do I start? where is the gap in my understanding of these topics.