Can I get some help only on part b and c, i am extremely lost.

0.3. The Fibonacci numbers F, F1, F2...., are defined by the rule Fo-0, F1 = 1, F = F.- + F.-2. In this problem we will confirm that this sequence grows exponentially fast and obtain some bounds on its growth. (a) Use induction to prove that F. 20.5n for n > 6. (b) Find a constant c