Question: 1. Find a recursive set definition for the set containing all natural numbers that are divisible only by powers of 2 and 3. 2. Find

1. Find a recursive set definition for the set containing all natural numbers that are divisible only by powers of 2 and 3.

2. Find a recursive set definition for the set containing all bit strings that contain an even number of 0s.

3. Find the solution to fn = 2*f(n-1) + f(n-2) - 2*f(n-3) with f0 = 3, f1 = 6, and f2 = 0

4. Find the solution to fn = 5*f(n-2) - 4*f(n-4) with f0 = 3, f1 = 2, f2 = 6 and f3 = 8

5. Find the solution to fn = 2*f(n-1) + 2n^2 with f1 = 4

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