Using a geometric sequence, the formula for the number of kilograms of fruit sold on the nth day is:
[tex]f(n) = 5(3)^{n - 1}[/tex]
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
For this problem, the first term and common ratio are given as follows:
[tex]a_1 = 5, q = 3[/tex]
Hence the function can be written as:
[tex]f(n) = 5(3)^{n - 1}[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
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