If a sequence is defined by the recursive function fn = 1 fn and f3 = 9, what is the value of f1?

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To determine the value of f1 in the given recursive sequence defined by f(n) = 1 imes f(n-1), we’ll need to analyze the information provided.

We know that f(3) = 9. To find out the values of f(2) and f(1), we can leverage the recursive function definition:

  • f(3) = 1 imes f(2)
  • f(2) = 1 imes f(1)

Starting from f(3), we rewrite the equations:

  1. From f(3) = 1 imes f(2), we have:
    • f(2) = f(3) / 1 = 9
  2. Next, substituting into f(2) = 1 imes f(1), we get:
    • f(1) = f(2) / 1 = 9

Thus, we find that f(1) = 9 as well.

Final Answer:

The value of f1 is 9.

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