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The recursive geometric sequence that models this situation is:
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
It can be represented by a recursive sequence as follows:
With f(1) as the first term.
In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:
Hence:
More can be learned about geometric sequences at brainly.com/question/11847927