Induction or function? (corrected)

Algebra Level 4

Let $f$ be a function from $\mathbb{Z}^+$ to $\mathbb{Z}^*$ such that

Find the smallest value of $n$ such that $f(n)=1994$ .

Notation: $\mathbb Z^+$ denotes the set of positive integers, and $\mathbb{Z}^*$ denotes the set of non-negative integers.