billions at year t is w. They follow the f he+s 2he-4. +1 0.5y +1

Assume that the population size of honey bees in billions at year t is hy, and the population size of wild bees in billions at year t is uy. They follow the following recursive relationship:

ht +1 = 2he - 4, ut +1 = 0.5ut + 1 EQUATIONS ARE IN IMAGE

Currently, there are 5 billion honey bees (ho = 5) and 10 billion wild bees (wo = 10).

1. Find an explicit formula for the population of honey bees.
2. Find an explicit formula for the population of wild bees.
3. What will be the population of wild bees in a long run (as t → ∞).
4. If each honey bee can pollinate 1000 plants annually and wild bees pollinate 2000 plants
   each year, how many plants will be pollinated in billions in the current year (f = 0), and after 2
   years (t = 2)? Compare the results and assess whether the pollination rate is likely to decrease in
   the near future or not.