what is a good topic to investigate? the Fibonacci sequence and the golden ratio or pascal triangle.?

Answer 1

If you feel comfortable with geometry the golden ratio is good. Fibonacci is good if you like sequences. Pascal's triangle is good if you like factorials, binomials, and patterns.

Note that the ration of consequtive fibonacci numbers converges to the golden ration as n-> infinity.

How about looking into how they are related? I've shown you one. I don't know how you'd relate Pascal's triangle to the other two, though.