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

QUESTION POSTED AT 02/06/2020 - 01:33 AM

Answered by admin AT 02/06/2020 - 01:33 AM

Assuming that f(n+1) = f(n) is the full recursive definition, and that there are no typos, then this means that the nth term is equal to the (n+1)th term for any n where n is a positive whole number.

So
f(1) = f(2)
f(2) = f(3)
f(3) = 9

By the transitive property, f(1) = f(3) = 9. Therefore the answer is 9.
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