Problem 8.16. Assume a bee produces only one offspring. A male bee (blue) has only a female (red) parent. A female bee has a male and female parent. We show an ancestry tree of a male bee on the right. Let mn be the number of ancestor bees at level n. Level 1 contains just the one male bee. For example m4=3. (a) What are m1,m2,,m7 ? (b) Get a recurrence for mn and show mn=Fn. (Fn are the Fibonacci numbers.) (c) Suppose a hive has m1 male bees and f1 female bees in the current generation (level 1). Show that, for the entire hive, there are m1Fn+f1Fn+1 ancestor-bees at level n