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A sequence is defined by the recursive function [tex]f(n + 1) = f(n)[/tex]. If [tex]f(3) = 9[/tex], what is [tex]f(1)[/tex]?

A. 1
B. 3
C. 27
D. 81

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Answer :

Final answer:

The sequence is defined by f(n + 1) = f(n) and f(3) = 9. Therefore, f(1) = 9.


Explanation:

In this sequence, each term is equal to the previous term. This means that f(3) = f(2), f(2) = f(1), and so on. Since f(3) = 9, we can substitute this value to find f(2). f(2) = f(3) = 9. Finally, substituting f(2) into f(1), we get f(1) = f(2) = 9.


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