It is true that Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1) for some k, but the problem is actually requesting Fib_gen(N) = k(2) * Fib(N) + k(1) * Fib(N-1) for another k. If one is still in doubt, generate the two sequences and look at the expected answer.
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