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Marco currently has 20 tulips in his yard each year he plants 5 more. Write a recursive formula for the number of tulips Marko has.

User Secret
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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.

User Jrsconfitto
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