Discussion

Explanation:

f(1) = 4
f(2) = f(1+1) = f(1 × 1) = f(1) = 4

Assume that f(n – 1) = 4
f(n) = f(1 + (n – 1)) = f(1 × (n – 1)) = f(n – 1) = 4
Thus, by induction principle, f(n) = 4, for all n.
∴ f(1003) = k = 4
Hence, option (e).

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