Note: I need typed answers only and your own work please

Question 2: You have cultivated a unique strain of tomato that is delicious in your backyard, so you decide to grow more. You have 19 plants to start (year (), and you let them germinate naturally, which means each plant turns into 3 plants the following year. Starting in year 1 you will harvest 10 plants per year of operation. So year 1 is 10 plants, year 2, 20 plants, etc, to sell at the farmer's market. A local squirrel population finds your tomato garden in the first year and eat 21 plants a year thereafter. That means we can express the growth of our tomato garden year by year with the following recursive function. f(0) = 19, f(n) = 3 . f(n - 1) - 10n - 21, n 2 1. Prove that the closed form of this recursion is f(n) = 3" + 5n + 18, Vn > 0