Final answer:
The recursive formula for the number of tulips Marco has each year is T(n) = T(n-1) + 5, with T(0) = 20.
Step-by-step explanation:
Marco currently has 20 tulips in his yard, and each year he plants 5 more. The recursive formula to represent the number of tulips Marco has after n years is given by:
T(n) = T(n-1) + 5, for n ≥ 1,
where T(n) is the total number of tulips in year n, and the initial condition is T(0) = 20, because Marco starts with 20 tulips. To use this recursive formula, you take the number of tulips from the previous year (T(n-1)) and add 5 more tulips to find the total for the current year.
For example, in the first year (n = 1), we would calculate the number of tulips as follows:
T(1) = T(0) + 5 = 20 + 5 = 25
The second year (n = 2):
T(2) = T(1) + 5 = 25 + 5 = 30
And so on for subsequent years.