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PEA 2025Question 21mcqModerate

f:N+N+f : \mathbb{N}_+ \to \mathbb{N}_+, f(x+y)=f(x)f(y)f(x+y) = f(x) f(y), f(1)=2f(1) = 2. Find 2+n=12025f(n)2 + \sum_{n=1}^{2025} f(n).